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Finding the Fourth Proportional to 396,718.56, 547,478.14 and 224,631.98

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Solution

The fourth proportional to 396,718.56, 547,478.14 and 224,631.98 is: 309,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,718.56 : 547,478.14 = 224,631.98 : x
  2. Step 2: Convert to fraction form
    396,718.56/547,478.14 = 224,631.98/x
  3. Step 3: Cross multiply
    396,718.56x = 547,478.14 × 224,631.98
  4. Step 4: Simplify right side
    396,718.56x = 122,981,097,471.76
  5. Step 5: Solve for x
    x = 122,981,097,471.76/396,718.56
  6. Step 6: Final answer
    x = 309,995.83

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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.