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Finding the Fourth Proportional to 378,372.80, 522,167.07 and 225,390.11

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Solution

The fourth proportional to 378,372.80, 522,167.07 and 225,390.11 is: 311,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,372.80 : 522,167.07 = 225,390.11 : x
  2. Step 2: Convert to fraction form
    378,372.80/522,167.07 = 225,390.11/x
  3. Step 3: Cross multiply
    378,372.80x = 522,167.07 × 225,390.11
  4. Step 4: Simplify right side
    378,372.80x = 117,691,293,345.68
  5. Step 5: Solve for x
    x = 117,691,293,345.68/378,372.80
  6. Step 6: Final answer
    x = 311,045.86

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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.