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Finding the Fourth Proportional to 398,250.39, 597,375.59 and 231,921.75

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Solution

The fourth proportional to 398,250.39, 597,375.59 and 231,921.75 is: 347,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,250.39 : 597,375.59 = 231,921.75 : x
  2. Step 2: Convert to fraction form
    398,250.39/597,375.59 = 231,921.75/x
  3. Step 3: Cross multiply
    398,250.39x = 597,375.59 × 231,921.75
  4. Step 4: Simplify right side
    398,250.39x = 138,544,391,080.47
  5. Step 5: Solve for x
    x = 138,544,391,080.47/398,250.39
  6. Step 6: Final answer
    x = 347,882.63

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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.