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Finding the Fourth Proportional to 431,839.62, 647,767.62 and 147,595.32

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Solution

The fourth proportional to 431,839.62, 647,767.62 and 147,595.32 is: 221,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,839.62 : 647,767.62 = 147,595.32 : x
  2. Step 2: Convert to fraction form
    431,839.62/647,767.62 = 147,595.32/x
  3. Step 3: Cross multiply
    431,839.62x = 647,767.62 × 147,595.32
  4. Step 4: Simplify right side
    431,839.62x = 95,607,469,159.54
  5. Step 5: Solve for x
    x = 95,607,469,159.54/431,839.62
  6. Step 6: Final answer
    x = 221,395.78

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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.