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Finding the Fourth Proportional to 396,843.36, 547,586.40 and 227,045.76

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Solution

The fourth proportional to 396,843.36, 547,586.40 and 227,045.76 is: 313,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,843.36 : 547,586.40 = 227,045.76 : x
  2. Step 2: Convert to fraction form
    396,843.36/547,586.40 = 227,045.76/x
  3. Step 3: Cross multiply
    396,843.36x = 547,586.40 × 227,045.76
  4. Step 4: Simplify right side
    396,843.36x = 124,327,170,353.66
  5. Step 5: Solve for x
    x = 124,327,170,353.66/396,843.36
  6. Step 6: Final answer
    x = 313,290.29

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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.