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Finding the Fourth Proportional to 349,806, 524,819.64 and 125,161.44

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Solution

The fourth proportional to 349,806, 524,819.64 and 125,161.44 is: 187,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,806 : 524,819.64 = 125,161.44 : x
  2. Step 2: Convert to fraction form
    349,806/524,819.64 = 125,161.44/x
  3. Step 3: Cross multiply
    349,806x = 524,819.64 × 125,161.44
  4. Step 4: Simplify right side
    349,806x = 65,687,181,882.68
  5. Step 5: Solve for x
    x = 65,687,181,882.68/349,806
  6. Step 6: Final answer
    x = 187,781.75

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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.