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Finding the Fourth Proportional to 396,540.96, 547,439.76 and 305,697.84

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Solution

The fourth proportional to 396,540.96, 547,439.76 and 305,697.84 is: 422,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,540.96 : 547,439.76 = 305,697.84 : x
  2. Step 2: Convert to fraction form
    396,540.96/547,439.76 = 305,697.84/x
  3. Step 3: Cross multiply
    396,540.96x = 547,439.76 × 305,697.84
  4. Step 4: Simplify right side
    396,540.96x = 167,351,152,162.12
  5. Step 5: Solve for x
    x = 167,351,152,162.12/396,540.96
  6. Step 6: Final answer
    x = 422,027.40

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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.