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Finding the Fourth Proportional to 396,502.61, 547,174.16 and 215,214.57

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Solution

The fourth proportional to 396,502.61, 547,174.16 and 215,214.57 is: 296,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,502.61 : 547,174.16 = 215,214.57 : x
  2. Step 2: Convert to fraction form
    396,502.61/547,174.16 = 215,214.57/x
  3. Step 3: Cross multiply
    396,502.61x = 547,174.16 × 215,214.57
  4. Step 4: Simplify right side
    396,502.61x = 117,759,850,483.44
  5. Step 5: Solve for x
    x = 117,759,850,483.44/396,502.61
  6. Step 6: Final answer
    x = 296,996.41

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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.