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Finding the Fourth Proportional to 431,983.78, 647,972.91 and 147,537.10

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Solution

The fourth proportional to 431,983.78, 647,972.91 and 147,537.10 is: 221,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,983.78 : 647,972.91 = 147,537.10 : x
  2. Step 2: Convert to fraction form
    431,983.78/647,972.91 = 147,537.10/x
  3. Step 3: Cross multiply
    431,983.78x = 647,972.91 × 147,537.10
  4. Step 4: Simplify right side
    431,983.78x = 95,600,044,019.96
  5. Step 5: Solve for x
    x = 95,600,044,019.96/431,983.78
  6. Step 6: Final answer
    x = 221,304.71

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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.