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Finding the Fourth Proportional to 396,514, 547,180.66 and 215,226.28

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Solution

The fourth proportional to 396,514, 547,180.66 and 215,226.28 is: 297,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,514 : 547,180.66 = 215,226.28 : x
  2. Step 2: Convert to fraction form
    396,514/547,180.66 = 215,226.28/x
  3. Step 3: Cross multiply
    396,514x = 547,180.66 × 215,226.28
  4. Step 4: Simplify right side
    396,514x = 117,767,657,939.75
  5. Step 5: Solve for x
    x = 117,767,657,939.75/396,514
  6. Step 6: Final answer
    x = 297,007.57

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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.