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Finding the Fourth Proportional to 431,609.70, 647,463.15 and 132,087.90

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Solution

The fourth proportional to 431,609.70, 647,463.15 and 132,087.90 is: 198,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,609.70 : 647,463.15 = 132,087.90 : x
  2. Step 2: Convert to fraction form
    431,609.70/647,463.15 = 132,087.90/x
  3. Step 3: Cross multiply
    431,609.70x = 647,463.15 × 132,087.90
  4. Step 4: Simplify right side
    431,609.70x = 85,522,047,810.89
  5. Step 5: Solve for x
    x = 85,522,047,810.89/431,609.70
  6. Step 6: Final answer
    x = 198,146.72

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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.