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Finding the Fourth Proportional to 396,714.42, 547,463.91 and 215,424.73

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Solution

The fourth proportional to 396,714.42, 547,463.91 and 215,424.73 is: 297,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,714.42 : 547,463.91 = 215,424.73 : x
  2. Step 2: Convert to fraction form
    396,714.42/547,463.91 = 215,424.73/x
  3. Step 3: Cross multiply
    396,714.42x = 547,463.91 × 215,424.73
  4. Step 4: Simplify right side
    396,714.42x = 117,937,264,996.49
  5. Step 5: Solve for x
    x = 117,937,264,996.49/396,714.42
  6. Step 6: Final answer
    x = 297,285.05

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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.