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Finding the Fourth Proportional to 396,393.84, 547,023.87 and 226,631.52

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Solution

The fourth proportional to 396,393.84, 547,023.87 and 226,631.52 is: 312,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,393.84 : 547,023.87 = 226,631.52 : x
  2. Step 2: Convert to fraction form
    396,393.84/547,023.87 = 226,631.52/x
  3. Step 3: Cross multiply
    396,393.84x = 547,023.87 × 226,631.52
  4. Step 4: Simplify right side
    396,393.84x = 123,972,851,134.38
  5. Step 5: Solve for x
    x = 123,972,851,134.38/396,393.84
  6. Step 6: Final answer
    x = 312,751.71

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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.