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Finding the Fourth Proportional to 378,517.52, 522,357.48 and 208,757.52

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Solution

The fourth proportional to 378,517.52, 522,357.48 and 208,757.52 is: 288,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,517.52 : 522,357.48 = 208,757.52 : x
  2. Step 2: Convert to fraction form
    378,517.52/522,357.48 = 208,757.52/x
  3. Step 3: Cross multiply
    378,517.52x = 522,357.48 × 208,757.52
  4. Step 4: Simplify right side
    378,517.52x = 109,046,052,078.25
  5. Step 5: Solve for x
    x = 109,046,052,078.25/378,517.52
  6. Step 6: Final answer
    x = 288,087.20

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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.