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Finding the Fourth Proportional to 514,962.50, 710,691.99 and 288,651.74

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Solution

The fourth proportional to 514,962.50, 710,691.99 and 288,651.74 is: 398,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,962.50 : 710,691.99 = 288,651.74 : x
  2. Step 2: Convert to fraction form
    514,962.50/710,691.99 = 288,651.74/x
  3. Step 3: Cross multiply
    514,962.50x = 710,691.99 × 288,651.74
  4. Step 4: Simplify right side
    514,962.50x = 205,142,479,517.56
  5. Step 5: Solve for x
    x = 205,142,479,517.56/514,962.50
  6. Step 6: Final answer
    x = 398,363.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.