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Finding the Fourth Proportional to 431,555.85, 647,310.39 and 132,036.48

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Solution

The fourth proportional to 431,555.85, 647,310.39 and 132,036.48 is: 198,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,555.85 : 647,310.39 = 132,036.48 : x
  2. Step 2: Convert to fraction form
    431,555.85/647,310.39 = 132,036.48/x
  3. Step 3: Cross multiply
    431,555.85x = 647,310.39 × 132,036.48
  4. Step 4: Simplify right side
    431,555.85x = 85,468,584,867.89
  5. Step 5: Solve for x
    x = 85,468,584,867.89/431,555.85
  6. Step 6: Final answer
    x = 198,047.56

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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.