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Finding the Fourth Proportional to 431,732.39, 647,600.14 and 132,211.67

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Solution

The fourth proportional to 431,732.39, 647,600.14 and 132,211.67 is: 198,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,732.39 : 647,600.14 = 132,211.67 : x
  2. Step 2: Convert to fraction form
    431,732.39/647,600.14 = 132,211.67/x
  3. Step 3: Cross multiply
    431,732.39x = 647,600.14 × 132,211.67
  4. Step 4: Simplify right side
    431,732.39x = 85,620,296,001.63
  5. Step 5: Solve for x
    x = 85,620,296,001.63/431,732.39
  6. Step 6: Final answer
    x = 198,317.98

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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.