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Finding the Fourth Proportional to 482,871.38, 724,132.10 and 216,494.78

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Solution

The fourth proportional to 482,871.38, 724,132.10 and 216,494.78 is: 324,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,871.38 : 724,132.10 = 216,494.78 : x
  2. Step 2: Convert to fraction form
    482,871.38/724,132.10 = 216,494.78/x
  3. Step 3: Cross multiply
    482,871.38x = 724,132.10 × 216,494.78
  4. Step 4: Simplify right side
    482,871.38x = 156,770,816,601.01
  5. Step 5: Solve for x
    x = 156,770,816,601.01/482,871.38
  6. Step 6: Final answer
    x = 324,663.72

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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.