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Finding the Fourth Proportional to 396,478.38, 547,148.31 and 224,396.34

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Solution

The fourth proportional to 396,478.38, 547,148.31 and 224,396.34 is: 309,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,478.38 : 547,148.31 = 224,396.34 : x
  2. Step 2: Convert to fraction form
    396,478.38/547,148.31 = 224,396.34/x
  3. Step 3: Cross multiply
    396,478.38x = 547,148.31 × 224,396.34
  4. Step 4: Simplify right side
    396,478.38x = 122,778,078,201.19
  5. Step 5: Solve for x
    x = 122,778,078,201.19/396,478.38
  6. Step 6: Final answer
    x = 309,671.56

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1.5x scale

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.