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Finding the Fourth Proportional to 457,477.87, 686,211.81 and 187,545.78

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Solution

The fourth proportional to 457,477.87, 686,211.81 and 187,545.78 is: 281,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,477.87 : 686,211.81 = 187,545.78 : x
  2. Step 2: Convert to fraction form
    457,477.87/686,211.81 = 187,545.78/x
  3. Step 3: Cross multiply
    457,477.87x = 686,211.81 × 187,545.78
  4. Step 4: Simplify right side
    457,477.87x = 128,696,125,720.60
  5. Step 5: Solve for x
    x = 128,696,125,720.60/457,477.87
  6. Step 6: Final answer
    x = 281,316.61

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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.