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Finding the Fourth Proportional to 431,913.85, 647,995.20 and 132,438.54

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Solution

The fourth proportional to 431,913.85, 647,995.20 and 132,438.54 is: 198,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,913.85 : 647,995.20 = 132,438.54 : x
  2. Step 2: Convert to fraction form
    431,913.85/647,995.20 = 132,438.54/x
  3. Step 3: Cross multiply
    431,913.85x = 647,995.20 × 132,438.54
  4. Step 4: Simplify right side
    431,913.85x = 85,819,534,975.03
  5. Step 5: Solve for x
    x = 85,819,534,975.03/431,913.85
  6. Step 6: Final answer
    x = 198,695.96

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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.