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Finding the Fourth Proportional to 394,668.90, 591,711.75 and 327,834.18

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Solution

The fourth proportional to 394,668.90, 591,711.75 and 327,834.18 is: 491,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,668.90 : 591,711.75 = 327,834.18 : x
  2. Step 2: Convert to fraction form
    394,668.90/591,711.75 = 327,834.18/x
  3. Step 3: Cross multiply
    394,668.90x = 591,711.75 × 327,834.18
  4. Step 4: Simplify right side
    394,668.90x = 193,983,336,357.62
  5. Step 5: Solve for x
    x = 193,983,336,357.62/394,668.90
  6. Step 6: Final answer
    x = 491,509.05

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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.