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Finding the Fourth Proportional to 396,522.64, 547,201.64 and 215,234.52

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Solution

The fourth proportional to 396,522.64, 547,201.64 and 215,234.52 is: 297,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,522.64 : 547,201.64 = 215,234.52 : x
  2. Step 2: Convert to fraction form
    396,522.64/547,201.64 = 215,234.52/x
  3. Step 3: Cross multiply
    396,522.64x = 547,201.64 × 215,234.52
  4. Step 4: Simplify right side
    396,522.64x = 117,776,682,328.61
  5. Step 5: Solve for x
    x = 117,776,682,328.61/396,522.64
  6. Step 6: Final answer
    x = 297,023.85

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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.