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Finding the Fourth Proportional to 431,772.16, 647,701.44 and 132,249.28

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Solution

The fourth proportional to 431,772.16, 647,701.44 and 132,249.28 is: 198,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,772.16 : 647,701.44 = 132,249.28 : x
  2. Step 2: Convert to fraction form
    431,772.16/647,701.44 = 132,249.28/x
  3. Step 3: Cross multiply
    431,772.16x = 647,701.44 × 132,249.28
  4. Step 4: Simplify right side
    431,772.16x = 85,658,046,979.77
  5. Step 5: Solve for x
    x = 85,658,046,979.77/431,772.16
  6. Step 6: Final answer
    x = 198,387.15

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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.