Finding the Fourth Proportional to 550,512,306.96, 825,642,273.12 and 157,031,643.84
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Solution
The fourth proportional to 550,512,306.96, 825,642,273.12 and 157,031,643.84 is: 235,511,471.28
Step by Step Solution
- Step 1: Write the proportion equation
550,512,306.96 : 825,642,273.12 = 157,031,643.84 : x - Step 2: Convert to fraction form
550,512,306.96/825,642,273.12 = 157,031,643.84/x - Step 3: Cross multiply
550,512,306.96x = 825,642,273.12 × 157,031,643.84 - Step 4: Simplify right side
550,512,306.96x = 129,651,963,371,827,856 - Step 5: Solve for x
x = 129,651,963,371,827,856/550,512,306.96 - Step 6: Final answer
x = 235,511,471.28
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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.