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Finding the Fourth Proportional to 431,384.31, 647,078.06 and 131,863.73

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Solution

The fourth proportional to 431,384.31, 647,078.06 and 131,863.73 is: 197,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,384.31 : 647,078.06 = 131,863.73 : x
  2. Step 2: Convert to fraction form
    431,384.31/647,078.06 = 131,863.73/x
  3. Step 3: Cross multiply
    431,384.31x = 647,078.06 × 131,863.73
  4. Step 4: Simplify right side
    431,384.31x = 85,326,123,687.03
  5. Step 5: Solve for x
    x = 85,326,123,687.03/431,384.31
  6. Step 6: Final answer
    x = 197,796.08

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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.