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Finding the Fourth Proportional to 431,830.16, 647,764.68 and 132,288.96

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Solution

The fourth proportional to 431,830.16, 647,764.68 and 132,288.96 is: 198,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,830.16 : 647,764.68 = 132,288.96 : x
  2. Step 2: Convert to fraction form
    431,830.16/647,764.68 = 132,288.96/x
  3. Step 3: Cross multiply
    431,830.16x = 647,764.68 × 132,288.96
  4. Step 4: Simplify right side
    431,830.16x = 85,692,115,841.93
  5. Step 5: Solve for x
    x = 85,692,115,841.93/431,830.16
  6. Step 6: Final answer
    x = 198,439.40

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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.