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Finding the Fourth Proportional to 327,709.73, 491,063.85 and 220,698

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Solution

The fourth proportional to 327,709.73, 491,063.85 and 220,698 is: 330,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,709.73 : 491,063.85 = 220,698 : x
  2. Step 2: Convert to fraction form
    327,709.73/491,063.85 = 220,698/x
  3. Step 3: Cross multiply
    327,709.73x = 491,063.85 × 220,698
  4. Step 4: Simplify right side
    327,709.73x = 108,376,809,567.30
  5. Step 5: Solve for x
    x = 108,376,809,567.30/327,709.73
  6. Step 6: Final answer
    x = 330,709.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.