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Finding the Fourth Proportional to 378,046.64, 521,779.92 and 217,010.56

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Solution

The fourth proportional to 378,046.64, 521,779.92 and 217,010.56 is: 299,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,046.64 : 521,779.92 = 217,010.56 : x
  2. Step 2: Convert to fraction form
    378,046.64/521,779.92 = 217,010.56/x
  3. Step 3: Cross multiply
    378,046.64x = 521,779.92 × 217,010.56
  4. Step 4: Simplify right side
    378,046.64x = 113,231,752,635.96
  5. Step 5: Solve for x
    x = 113,231,752,635.96/378,046.64
  6. Step 6: Final answer
    x = 299,517.94

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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.