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Finding the Fourth Proportional to 396,129.70, 546,648.60 and 226,363.78

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Solution

The fourth proportional to 396,129.70, 546,648.60 and 226,363.78 is: 312,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,129.70 : 546,648.60 = 226,363.78 : x
  2. Step 2: Convert to fraction form
    396,129.70/546,648.60 = 226,363.78/x
  3. Step 3: Cross multiply
    396,129.70x = 546,648.60 × 226,363.78
  4. Step 4: Simplify right side
    396,129.70x = 123,741,443,427.71
  5. Step 5: Solve for x
    x = 123,741,443,427.71/396,129.70
  6. Step 6: Final answer
    x = 312,376.08

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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.