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Finding the Fourth Proportional to 396,506.51, 547,179.51 and 215,218.47

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Solution

The fourth proportional to 396,506.51, 547,179.51 and 215,218.47 is: 297,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,506.51 : 547,179.51 = 215,218.47 : x
  2. Step 2: Convert to fraction form
    396,506.51/547,179.51 = 215,218.47/x
  3. Step 3: Cross multiply
    396,506.51x = 547,179.51 × 215,218.47
  4. Step 4: Simplify right side
    396,506.51x = 117,763,136,957.55
  5. Step 5: Solve for x
    x = 117,763,136,957.55/396,506.51
  6. Step 6: Final answer
    x = 297,001.78

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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.