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Finding the Fourth Proportional to 361,545.98, 498,915.18 and 200,399.31

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Solution

The fourth proportional to 361,545.98, 498,915.18 and 200,399.31 is: 276,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,545.98 : 498,915.18 = 200,399.31 : x
  2. Step 2: Convert to fraction form
    361,545.98/498,915.18 = 200,399.31/x
  3. Step 3: Cross multiply
    361,545.98x = 498,915.18 × 200,399.31
  4. Step 4: Simplify right side
    361,545.98x = 99,982,257,820.53
  5. Step 5: Solve for x
    x = 99,982,257,820.53/361,545.98
  6. Step 6: Final answer
    x = 276,540.92

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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.