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Finding the Fourth Proportional to 396,995.28, 547,900.56 and 227,284.08

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Solution

The fourth proportional to 396,995.28, 547,900.56 and 227,284.08 is: 313,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,995.28 : 547,900.56 = 227,284.08 : x
  2. Step 2: Convert to fraction form
    396,995.28/547,900.56 = 227,284.08/x
  3. Step 3: Cross multiply
    396,995.28x = 547,900.56 × 227,284.08
  4. Step 4: Simplify right side
    396,995.28x = 124,529,074,711.09
  5. Step 5: Solve for x
    x = 124,529,074,711.09/396,995.28
  6. Step 6: Final answer
    x = 313,678.98

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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.