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Finding the Fourth Proportional to 378,174.70, 521,881.17 and 206,092.69

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Solution

The fourth proportional to 378,174.70, 521,881.17 and 206,092.69 is: 284,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,174.70 : 521,881.17 = 206,092.69 : x
  2. Step 2: Convert to fraction form
    378,174.70/521,881.17 = 206,092.69/x
  3. Step 3: Cross multiply
    378,174.70x = 521,881.17 × 206,092.69
  4. Step 4: Simplify right side
    378,174.70x = 107,555,894,185.65
  5. Step 5: Solve for x
    x = 107,555,894,185.65/378,174.70
  6. Step 6: Final answer
    x = 284,407.96

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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.