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Finding the Fourth Proportional to 394,244.80, 591,470.88 and 204,717.76

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Solution

The fourth proportional to 394,244.80, 591,470.88 and 204,717.76 is: 307,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,244.80 : 591,470.88 = 204,717.76 : x
  2. Step 2: Convert to fraction form
    394,244.80/591,470.88 = 204,717.76/x
  3. Step 3: Cross multiply
    394,244.80x = 591,470.88 × 204,717.76
  4. Step 4: Simplify right side
    394,244.80x = 121,084,593,658.83
  5. Step 5: Solve for x
    x = 121,084,593,658.83/394,244.80
  6. Step 6: Final answer
    x = 307,130.48

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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.