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Finding the Fourth Proportional to 375,227.61, 517,814.97 and 203,147.40

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Solution

The fourth proportional to 375,227.61, 517,814.97 and 203,147.40 is: 280,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,227.61 : 517,814.97 = 203,147.40 : x
  2. Step 2: Convert to fraction form
    375,227.61/517,814.97 = 203,147.40/x
  3. Step 3: Cross multiply
    375,227.61x = 517,814.97 × 203,147.40
  4. Step 4: Simplify right side
    375,227.61x = 105,192,764,836.58
  5. Step 5: Solve for x
    x = 105,192,764,836.58/375,227.61
  6. Step 6: Final answer
    x = 280,343.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.