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Finding the Fourth Proportional to 396,928, 547,769.28 and 218,080

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Solution

The fourth proportional to 396,928, 547,769.28 and 218,080 is: 300,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,928 : 547,769.28 = 218,080 : x
  2. Step 2: Convert to fraction form
    396,928/547,769.28 = 218,080/x
  3. Step 3: Cross multiply
    396,928x = 547,769.28 × 218,080
  4. Step 4: Simplify right side
    396,928x = 119,457,524,582.40
  5. Step 5: Solve for x
    x = 119,457,524,582.40/396,928
  6. Step 6: Final answer
    x = 300,955.15

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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.