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Finding the Fourth Proportional to 378,174.92, 521,881.50 and 206,092.94

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Solution

The fourth proportional to 378,174.92, 521,881.50 and 206,092.94 is: 284,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,174.92 : 521,881.50 = 206,092.94 : x
  2. Step 2: Convert to fraction form
    378,174.92/521,881.50 = 206,092.94/x
  3. Step 3: Cross multiply
    378,174.92x = 521,881.50 × 206,092.94
  4. Step 4: Simplify right side
    378,174.92x = 107,556,092,666.61
  5. Step 5: Solve for x
    x = 107,556,092,666.61/378,174.92
  6. Step 6: Final answer
    x = 284,408.32

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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.