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Finding the Fourth Proportional to 396,944.50, 547,783.41 and 218,096.50

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Solution

The fourth proportional to 396,944.50, 547,783.41 and 218,096.50 is: 300,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,944.50 : 547,783.41 = 218,096.50 : x
  2. Step 2: Convert to fraction form
    396,944.50/547,783.41 = 218,096.50/x
  3. Step 3: Cross multiply
    396,944.50x = 547,783.41 × 218,096.50
  4. Step 4: Simplify right side
    396,944.50x = 119,469,644,479.07
  5. Step 5: Solve for x
    x = 119,469,644,479.07/396,944.50
  6. Step 6: Final answer
    x = 300,973.17

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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.