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Finding the Fourth Proportional to 378,593.66, 522,469.09 and 206,514.52

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Solution

The fourth proportional to 378,593.66, 522,469.09 and 206,514.52 is: 284,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,593.66 : 522,469.09 = 206,514.52 : x
  2. Step 2: Convert to fraction form
    378,593.66/522,469.09 = 206,514.52/x
  3. Step 3: Cross multiply
    378,593.66x = 522,469.09 × 206,514.52
  4. Step 4: Simplify right side
    378,593.66x = 107,897,454,626.98
  5. Step 5: Solve for x
    x = 107,897,454,626.98/378,593.66
  6. Step 6: Final answer
    x = 284,995.41

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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.