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Finding the Fourth Proportional to 378,167.38, 521,871.09 and 206,085.39

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Solution

The fourth proportional to 378,167.38, 521,871.09 and 206,085.39 is: 284,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,167.38 : 521,871.09 = 206,085.39 : x
  2. Step 2: Convert to fraction form
    378,167.38/521,871.09 = 206,085.39/x
  3. Step 3: Cross multiply
    378,167.38x = 521,871.09 × 206,085.39
  4. Step 4: Simplify right side
    378,167.38x = 107,550,009,189.87
  5. Step 5: Solve for x
    x = 107,550,009,189.87/378,167.38
  6. Step 6: Final answer
    x = 284,397.90

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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.