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Finding the Fourth Proportional to 378,180.78, 521,879.85 and 206,103.17

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Solution

The fourth proportional to 378,180.78, 521,879.85 and 206,103.17 is: 284,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,180.78 : 521,879.85 = 206,103.17 : x
  2. Step 2: Convert to fraction form
    378,180.78/521,879.85 = 206,103.17/x
  3. Step 3: Cross multiply
    378,180.78x = 521,879.85 × 206,103.17
  4. Step 4: Simplify right side
    378,180.78x = 107,561,088,834.73
  5. Step 5: Solve for x
    x = 107,561,088,834.73/378,180.78
  6. Step 6: Final answer
    x = 284,417.12

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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.