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Finding the Fourth Proportional to 431,686.32, 647,373.96 and 182,387.76

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Solution

The fourth proportional to 431,686.32, 647,373.96 and 182,387.76 is: 273,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,686.32 : 647,373.96 = 182,387.76 : x
  2. Step 2: Convert to fraction form
    431,686.32/647,373.96 = 182,387.76/x
  3. Step 3: Cross multiply
    431,686.32x = 647,373.96 × 182,387.76
  4. Step 4: Simplify right side
    431,686.32x = 118,073,086,446.73
  5. Step 5: Solve for x
    x = 118,073,086,446.73/431,686.32
  6. Step 6: Final answer
    x = 273,515.93

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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.