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Finding the Fourth Proportional to 396,944, 547,782.72 and 218,096

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Solution

The fourth proportional to 396,944, 547,782.72 and 218,096 is: 300,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,944 : 547,782.72 = 218,096 : x
  2. Step 2: Convert to fraction form
    396,944/547,782.72 = 218,096/x
  3. Step 3: Cross multiply
    396,944x = 547,782.72 × 218,096
  4. Step 4: Simplify right side
    396,944x = 119,469,220,101.12
  5. Step 5: Solve for x
    x = 119,469,220,101.12/396,944
  6. Step 6: Final answer
    x = 300,972.48

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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.