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Finding the Fourth Proportional to 378,182.78, 521,882.62 and 206,105.17

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Solution

The fourth proportional to 378,182.78, 521,882.62 and 206,105.17 is: 284,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,182.78 : 521,882.62 = 206,105.17 : x
  2. Step 2: Convert to fraction form
    378,182.78/521,882.62 = 206,105.17/x
  3. Step 3: Cross multiply
    378,182.78x = 521,882.62 × 206,105.17
  4. Step 4: Simplify right side
    378,182.78x = 107,562,706,115.15
  5. Step 5: Solve for x
    x = 107,562,706,115.15/378,182.78
  6. Step 6: Final answer
    x = 284,419.89

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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.