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Finding the Fourth Proportional to 415,067.40, 622,601.10 and 130,793.85

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Solution

The fourth proportional to 415,067.40, 622,601.10 and 130,793.85 is: 196,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,067.40 : 622,601.10 = 130,793.85 : x
  2. Step 2: Convert to fraction form
    415,067.40/622,601.10 = 130,793.85/x
  3. Step 3: Cross multiply
    415,067.40x = 622,601.10 × 130,793.85
  4. Step 4: Simplify right side
    415,067.40x = 81,432,394,883.24
  5. Step 5: Solve for x
    x = 81,432,394,883.24/415,067.40
  6. Step 6: Final answer
    x = 196,190.78

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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.