Finding the Fourth Proportional to 409,688,138.10, 614,532,207.15 and 402,885,693.30
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Solution
The fourth proportional to 409,688,138.10, 614,532,207.15 and 402,885,693.30 is: 604,328,539.95
Step by Step Solution
- Step 1: Write the proportion equation
409,688,138.10 : 614,532,207.15 = 402,885,693.30 : x - Step 2: Convert to fraction form
409,688,138.10/614,532,207.15 = 402,885,693.30/x - Step 3: Cross multiply
409,688,138.10x = 614,532,207.15 × 402,885,693.30 - Step 4: Simplify right side
409,688,138.10x = 247,586,234,332,806,976 - Step 5: Solve for x
x = 247,586,234,332,806,976/409,688,138.10 - Step 6: Final answer
x = 604,328,539.95
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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.