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Finding the Fourth Proportional to 378,882.65, 522,820.85 and 209,105.84

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Solution

The fourth proportional to 378,882.65, 522,820.85 and 209,105.84 is: 288,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,882.65 : 522,820.85 = 209,105.84 : x
  2. Step 2: Convert to fraction form
    378,882.65/522,820.85 = 209,105.84/x
  3. Step 3: Cross multiply
    378,882.65x = 522,820.85 × 209,105.84
  4. Step 4: Simplify right side
    378,882.65x = 109,324,893,270.29
  5. Step 5: Solve for x
    x = 109,324,893,270.29/378,882.65
  6. Step 6: Final answer
    x = 288,545.52

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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.