Finding the Fourth Proportional to 830,104,018,841.97, 1,245,210,663,402.50 and 217,498,579,327.26
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Solution
The fourth proportional to 830,104,018,841.97, 1,245,210,663,402.50 and 217,498,579,327.26 is: 326,262,184,142.92
Step by Step Solution
- Step 1: Write the proportion equation
830,104,018,841.97 : 1,245,210,663,402.50 = 217,498,579,327.26 : x - Step 2: Convert to fraction form
830,104,018,841.97/1,245,210,663,402.50 = 217,498,579,327.26/x - Step 3: Cross multiply
830,104,018,841.97x = 1,245,210,663,402.50 × 217,498,579,327.26 - Step 4: Simplify right side
830,104,018,841.97x = 270,831,550,253,198,710,145,024 - Step 5: Solve for x
x = 270,831,550,253,198,710,145,024/830,104,018,841.97 - Step 6: Final answer
x = 326,262,184,142.92
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.