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Finding the Fourth Proportional to 431,008.86, 646,614.39 and 131,489.34

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Solution

The fourth proportional to 431,008.86, 646,614.39 and 131,489.34 is: 197,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,008.86 : 646,614.39 = 131,489.34 : x
  2. Step 2: Convert to fraction form
    431,008.86/646,614.39 = 131,489.34/x
  3. Step 3: Cross multiply
    431,008.86x = 646,614.39 × 131,489.34
  4. Step 4: Simplify right side
    431,008.86x = 85,022,899,375.60
  5. Step 5: Solve for x
    x = 85,022,899,375.60/431,008.86
  6. Step 6: Final answer
    x = 197,264.85

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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.