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Finding the Fourth Proportional to 431,568.97, 647,355.50 and 132,049.07

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Solution

The fourth proportional to 431,568.97, 647,355.50 and 132,049.07 is: 198,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,568.97 : 647,355.50 = 132,049.07 : x
  2. Step 2: Convert to fraction form
    431,568.97/647,355.50 = 132,049.07/x
  3. Step 3: Cross multiply
    431,568.97x = 647,355.50 × 132,049.07
  4. Step 4: Simplify right side
    431,568.97x = 85,482,691,734.39
  5. Step 5: Solve for x
    x = 85,482,691,734.39/431,568.97
  6. Step 6: Final answer
    x = 198,074.23

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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.