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Finding the Fourth Proportional to 431,609.55, 647,600.90 and 231,696.48

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Solution

The fourth proportional to 431,609.55, 647,600.90 and 231,696.48 is: 347,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,609.55 : 647,600.90 = 231,696.48 : x
  2. Step 2: Convert to fraction form
    431,609.55/647,600.90 = 231,696.48/x
  3. Step 3: Cross multiply
    431,609.55x = 647,600.90 × 231,696.48
  4. Step 4: Simplify right side
    431,609.55x = 150,046,847,816.35
  5. Step 5: Solve for x
    x = 150,046,847,816.35/431,609.55
  6. Step 6: Final answer
    x = 347,644.87

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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.