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Finding the Fourth Proportional to 431,989.11, 647,959.42 and 132,468.87

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Solution

The fourth proportional to 431,989.11, 647,959.42 and 132,468.87 is: 198,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,989.11 : 647,959.42 = 132,468.87 : x
  2. Step 2: Convert to fraction form
    431,989.11/647,959.42 = 132,468.87/x
  3. Step 3: Cross multiply
    431,989.11x = 647,959.42 × 132,468.87
  4. Step 4: Simplify right side
    431,989.11x = 85,834,451,496.49
  5. Step 5: Solve for x
    x = 85,834,451,496.49/431,989.11
  6. Step 6: Final answer
    x = 198,695.87

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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.