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Finding the Fourth Proportional to 378,178.76, 521,879.73 and 206,098.11

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Solution

The fourth proportional to 378,178.76, 521,879.73 and 206,098.11 is: 284,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,178.76 : 521,879.73 = 206,098.11 : x
  2. Step 2: Convert to fraction form
    378,178.76/521,879.73 = 206,098.11/x
  3. Step 3: Cross multiply
    378,178.76x = 521,879.73 × 206,098.11
  4. Step 4: Simplify right side
    378,178.76x = 107,558,425,227.44
  5. Step 5: Solve for x
    x = 107,558,425,227.44/378,178.76
  6. Step 6: Final answer
    x = 284,411.60

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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.