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Finding the Fourth Proportional to 394,315.20, 591,343.20 and 144,964.80

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Solution

The fourth proportional to 394,315.20, 591,343.20 and 144,964.80 is: 217,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,315.20 : 591,343.20 = 144,964.80 : x
  2. Step 2: Convert to fraction form
    394,315.20/591,343.20 = 144,964.80/x
  3. Step 3: Cross multiply
    394,315.20x = 591,343.20 × 144,964.80
  4. Step 4: Simplify right side
    394,315.20x = 85,723,948,719.36
  5. Step 5: Solve for x
    x = 85,723,948,719.36/394,315.20
  6. Step 6: Final answer
    x = 217,399.55

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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.