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Finding the Fourth Proportional to 396,509.90, 547,168.92 and 215,217.94

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Solution

The fourth proportional to 396,509.90, 547,168.92 and 215,217.94 is: 296,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,509.90 : 547,168.92 = 215,217.94 : x
  2. Step 2: Convert to fraction form
    396,509.90/547,168.92 = 215,217.94/x
  3. Step 3: Cross multiply
    396,509.90x = 547,168.92 × 215,217.94
  4. Step 4: Simplify right side
    396,509.90x = 117,760,567,794.43
  5. Step 5: Solve for x
    x = 117,760,567,794.43/396,509.90
  6. Step 6: Final answer
    x = 296,992.76

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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.