Finding the Fourth Proportional to 458,472,246.80, 687,708,370.20 and 408,307,715.60
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Solution
The fourth proportional to 458,472,246.80, 687,708,370.20 and 408,307,715.60 is: 612,461,573.40
Step by Step Solution
- Step 1: Write the proportion equation
458,472,246.80 : 687,708,370.20 = 408,307,715.60 : x - Step 2: Convert to fraction form
458,472,246.80/687,708,370.20 = 408,307,715.60/x - Step 3: Cross multiply
458,472,246.80x = 687,708,370.20 × 408,307,715.60 - Step 4: Simplify right side
458,472,246.80x = 280,796,633,635,361,152 - Step 5: Solve for x
x = 280,796,633,635,361,152/458,472,246.80 - Step 6: Final answer
x = 612,461,573.40
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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.