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Finding the Fourth Proportional to 327,988, 491,586.72 and 138,375.04

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Solution

The fourth proportional to 327,988, 491,586.72 and 138,375.04 is: 207,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,988 : 491,586.72 = 138,375.04 : x
  2. Step 2: Convert to fraction form
    327,988/491,586.72 = 138,375.04/x
  3. Step 3: Cross multiply
    327,988x = 491,586.72 × 138,375.04
  4. Step 4: Simplify right side
    327,988x = 68,023,332,043.47
  5. Step 5: Solve for x
    x = 68,023,332,043.47/327,988
  6. Step 6: Final answer
    x = 207,395.80

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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.