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Finding the Fourth Proportional to 431,614.80, 647,608.77 and 231,701.73

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Solution

The fourth proportional to 431,614.80, 647,608.77 and 231,701.73 is: 347,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,614.80 : 647,608.77 = 231,701.73 : x
  2. Step 2: Convert to fraction form
    431,614.80/647,608.77 = 231,701.73/x
  3. Step 3: Cross multiply
    431,614.80x = 647,608.77 × 231,701.73
  4. Step 4: Simplify right side
    431,614.80x = 150,052,072,372.17
  5. Step 5: Solve for x
    x = 150,052,072,372.17/431,614.80
  6. Step 6: Final answer
    x = 347,652.75

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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.