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Finding the Fourth Proportional to 396,506.81, 547,179.94 and 215,218.78

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Solution

The fourth proportional to 396,506.81, 547,179.94 and 215,218.78 is: 297,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,506.81 : 547,179.94 = 215,218.78 : x
  2. Step 2: Convert to fraction form
    396,506.81/547,179.94 = 215,218.78/x
  3. Step 3: Cross multiply
    396,506.81x = 547,179.94 × 215,218.78
  4. Step 4: Simplify right side
    396,506.81x = 117,763,396,391.37
  5. Step 5: Solve for x
    x = 117,763,396,391.37/396,506.81
  6. Step 6: Final answer
    x = 297,002.20

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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.