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Finding the Fourth Proportional to 431,599.89, 647,494.67 and 132,103.57

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Solution

The fourth proportional to 431,599.89, 647,494.67 and 132,103.57 is: 198,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,599.89 : 647,494.67 = 132,103.57 : x
  2. Step 2: Convert to fraction form
    431,599.89/647,494.67 = 132,103.57/x
  3. Step 3: Cross multiply
    431,599.89x = 647,494.67 × 132,103.57
  4. Step 4: Simplify right side
    431,599.89x = 85,536,357,462.97
  5. Step 5: Solve for x
    x = 85,536,357,462.97/431,599.89
  6. Step 6: Final answer
    x = 198,184.38

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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.