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Finding the Fourth Proportional to 431,737.28, 647,213.86 and 151,101.44

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Solution

The fourth proportional to 431,737.28, 647,213.86 and 151,101.44 is: 226,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,737.28 : 647,213.86 = 151,101.44 : x
  2. Step 2: Convert to fraction form
    431,737.28/647,213.86 = 151,101.44/x
  3. Step 3: Cross multiply
    431,737.28x = 647,213.86 × 151,101.44
  4. Step 4: Simplify right side
    431,737.28x = 97,794,946,233.96
  5. Step 5: Solve for x
    x = 97,794,946,233.96/431,737.28
  6. Step 6: Final answer
    x = 226,514.95

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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.