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Finding the Fourth Proportional to 378,187.74, 521,899.11 and 206,105.76

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Solution

The fourth proportional to 378,187.74, 521,899.11 and 206,105.76 is: 284,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,187.74 : 521,899.11 = 206,105.76 : x
  2. Step 2: Convert to fraction form
    378,187.74/521,899.11 = 206,105.76/x
  3. Step 3: Cross multiply
    378,187.74x = 521,899.11 × 206,105.76
  4. Step 4: Simplify right side
    378,187.74x = 107,566,412,709.87
  5. Step 5: Solve for x
    x = 107,566,412,709.87/378,187.74
  6. Step 6: Final answer
    x = 284,425.96

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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.