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Finding the Fourth Proportional to 378,519.54, 522,357.48 and 206,437.92

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Solution

The fourth proportional to 378,519.54, 522,357.48 and 206,437.92 is: 284,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,519.54 : 522,357.48 = 206,437.92 : x
  2. Step 2: Convert to fraction form
    378,519.54/522,357.48 = 206,437.92/x
  3. Step 3: Cross multiply
    378,519.54x = 522,357.48 × 206,437.92
  4. Step 4: Simplify right side
    378,519.54x = 107,834,391,667.64
  5. Step 5: Solve for x
    x = 107,834,391,667.64/378,519.54
  6. Step 6: Final answer
    x = 284,884.61

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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.