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Finding the Fourth Proportional to 396,580, 547,289.04 and 217,732

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Solution

The fourth proportional to 396,580, 547,289.04 and 217,732 is: 300,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,580 : 547,289.04 = 217,732 : x
  2. Step 2: Convert to fraction form
    396,580/547,289.04 = 217,732/x
  3. Step 3: Cross multiply
    396,580x = 547,289.04 × 217,732
  4. Step 4: Simplify right side
    396,580x = 119,162,337,257.28
  5. Step 5: Solve for x
    x = 119,162,337,257.28/396,580
  6. Step 6: Final answer
    x = 300,474.90

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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.