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Finding the Fourth Proportional to 378,150.44, 521,840.85 and 206,069.90

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Solution

The fourth proportional to 378,150.44, 521,840.85 and 206,069.90 is: 284,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,150.44 : 521,840.85 = 206,069.90 : x
  2. Step 2: Convert to fraction form
    378,150.44/521,840.85 = 206,069.90/x
  3. Step 3: Cross multiply
    378,150.44x = 521,840.85 × 206,069.90
  4. Step 4: Simplify right side
    378,150.44x = 107,535,691,775.42
  5. Step 5: Solve for x
    x = 107,535,691,775.42/378,150.44
  6. Step 6: Final answer
    x = 284,372.78

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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.