2 BULLETIN 1280, U. S. DEPARTMENT OF AGRICULTURE 
where B and C respectively are the percentages of phosphoric acid 
and potash desired in the fertilizer, and b and c the actual percent- 
ages in the materials used. 
Having obtained X, Y, and Z, the quantity of filler (F) to be 
used in the mixed fertilizer is given bv the equation F = 2,000 — 
(X+Y + Z). 
It is evident that the sum, X +Y + Z, can not exceed 2,000 pounds, 
making F a minus quantity; for, in such a case, though the desired, 
relative proportions of the respective fertilizing elements could be 
maintained, the desired analysis formula 1 could not be obtained by 
using the particular materials available. 
In Table l 2 are given directly values of X, Y, and Z, with varia- 
tions of A, B, or C, from one-half to 20 per cent; and of a, b, or c, 
from 1 to 50 per cent. Thus, to find the amount of a material (con- 
taining any particular per cent of fertilizer constituent given in the 
first column of figures) required for 2,000 pounds of fertilizer (con- 
taining a desired per cent of the same constituent given in the top 
line of figures), use the number of pounds of this material shown 
where the horizontal and vertical lines from the two percentages 
cross. 
Table 1. — Weights of single fertilizer constituent materials required for fertilizer 
formulae 
Per cent 
in 
material 
Per cent desired 
13 14 
16 17 18 
1000 2000 
5001000 
2000,. 
I 333; 667 13332000 
250i 500 1000. 1500 
200 400 800!l200 
333 
2V) 
250 
222 
200 
182 
107 333 
154: 308 
143' 286 
133 207 
62 125 250 
667 1000 
571 857 
500 750 
444 667 
2000 
1600 
1333 
1143! 
1000, 
889 
800 
727 
118 235 
111 222 
L05 21] 
100 200 
Q] 182 273 304 
ODO 
545 
500 
402 615 
129 57] 
400 533 
375 500 
353 471 ! 
333 441 
316 4211 
300 WO 
20(10 
1667 
1429 
1250 
1111 
1000 
2000| 
1714 2000 
1500 1750 2000 
1333 1556,1778 2000 
1200,1400 1600 1800 2000 
90911091) 12731455116361 1818 2000J 
8331 1000; 1167 1333 ' 1500' 1667 1833 
L74 261 348 
107 250 333 
I r,n 2 
231 308 
476 571 
155 545 
760 923 1077 12311385 
714 8571000 1143J1286 
667 800| 933 1067 1200 
625j 7501 875 1000 1125 
588 706 824 94] L059 
550 007 778 889 1000 
12 737 842 947 
500; 600| 700 800 900 
Oi 17 7621 857 
636 727 sis 
608 695 782 
583 667 750 
560 640 72ii 
538 615 692 
519 593 667 
500 571 fit:; 
0,7 533 600 
100 457 514 
350 400 450 
31] 356 loo 
298 310 383 
202 333 375 
286 .127 36 7 
280 320 360 
286 343 
250 300 
222 207 
153N 1002 
142915711 
1333! 1407 
12501375. 
1176 '1294 
llll r 1222 
1053)1158 
1000J1100! 
9521048: 
909 1000; 
869 956 
833! 917j 
800, 880, 
7.1 815 
711 786 
007 733 
571 629 
500 550j 
1 1 1 189 
426 468' 
117 158 
108 no 
100 no 
2000 .... 
1846:2000 
1714| 1856 
1600(1733 
1500 1025 
1412,1529 
1333 1444 
1263|l368 
1200:1300 
1143 1238 
1001 
L043 
L000 
960 
»o 
857 
800 
on; 
000 
533 
511 
500 
10(1 
L182 
L130 
1083 
10 10 
1000 
963 
867 
743 
0,50 
57S 
553 
542 
520 
2000.. _. 
1750 1875 
1647 1705 
i 
1474 1570 
1400 1500 
13331429 
1273 130! 
1217 1304 
1107 1250 
1120 1200 
1077 1151 
1007 I 111 
1000 1071 
033 1000 
800 857 
7oo 750 
022 007 
596 6 3 
583 625 
7.7 1 612 
560 ooo 
2000--..: 
1882 2000 
L778 L88! 
1600 1700 
1524 1010 
l 155 1545 
1333 1417 
1231 L308 
1185 1250 
1113 1211 
L067 L133 
914 071 
800| 850 
711 750 
681 723 
007 708 
640 680 
.... 
i)...- 
1800 1900 2000 
,0 1905 
103O 
1504 
1500 
1410 
1385 
1333 
I '.NO 
1200 
'020 
900 
800 
750 
735 
720 
1051 1738 
15S3 1667 
1520 1600 
l 102 1538 
1407 14S1 
1357 1429 
1207 1333 
L086 U13 
050 1000 
844 889 
-oo 851 
702 833 
776 sio 
760 80C 
'i lie follow ' . when occurring in this bulletin, are used to mean as follows; 
"Fertilize! ," or simply "analysis formula," the formul ient of the percenl 
f ammonia, phosphoric acid, and potash in a fertilizer. Thus I irmtuV'ofa 
■ kin .; per cenl Ml . 9 per cenl r. . and 3 per cenl k.< ), 
" Fertilizer ra " the formulated s tatemenl of the percentages of ammonia, phosphoric acid, and potash, 
i d on the basis of the fertilising elements alone. 
tilizer formula, or "formula, a statement of the ingredients and weights of each required to make 
a ton of a mixed fei i 
piled from data given In 'i able 2, Bull, 221, p. L5, Va. A.gr. Expt. Sta., w ith additions. 
