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Finding the Fourth Proportional to 378,357.06, 567,616.49 and 138,470.16

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Solution

The fourth proportional to 378,357.06, 567,616.49 and 138,470.16 is: 207,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,357.06 : 567,616.49 = 138,470.16 : x
  2. Step 2: Convert to fraction form
    378,357.06/567,616.49 = 138,470.16/x
  3. Step 3: Cross multiply
    378,357.06x = 567,616.49 × 138,470.16
  4. Step 4: Simplify right side
    378,357.06x = 78,597,944,951.57
  5. Step 5: Solve for x
    x = 78,597,944,951.57/378,357.06
  6. Step 6: Final answer
    x = 207,734.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.