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Finding the Fourth Proportional to 431,864.73, 647,798.18 and 221,387.85

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Solution

The fourth proportional to 431,864.73, 647,798.18 and 221,387.85 is: 332,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,864.73 : 647,798.18 = 221,387.85 : x
  2. Step 2: Convert to fraction form
    431,864.73/647,798.18 = 221,387.85/x
  3. Step 3: Cross multiply
    431,864.73x = 647,798.18 × 221,387.85
  4. Step 4: Simplify right side
    431,864.73x = 143,414,645,197.17
  5. Step 5: Solve for x
    x = 143,414,645,197.17/431,864.73
  6. Step 6: Final answer
    x = 332,082.33

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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.