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Finding the Fourth Proportional to 431,645.15, 647,444.64 and 132,125.88

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Solution

The fourth proportional to 431,645.15, 647,444.64 and 132,125.88 is: 198,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,645.15 : 647,444.64 = 132,125.88 : x
  2. Step 2: Convert to fraction form
    431,645.15/647,444.64 = 132,125.88/x
  3. Step 3: Cross multiply
    431,645.15x = 647,444.64 × 132,125.88
  4. Step 4: Simplify right side
    431,645.15x = 85,544,195,734.67
  5. Step 5: Solve for x
    x = 85,544,195,734.67/431,645.15
  6. Step 6: Final answer
    x = 198,181.76

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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.