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Finding the Fourth Proportional to 394,035.20, 591,052.80 and 227,628.80

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Solution

The fourth proportional to 394,035.20, 591,052.80 and 227,628.80 is: 341,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,035.20 : 591,052.80 = 227,628.80 : x
  2. Step 2: Convert to fraction form
    394,035.20/591,052.80 = 227,628.80/x
  3. Step 3: Cross multiply
    394,035.20x = 591,052.80 × 227,628.80
  4. Step 4: Simplify right side
    394,035.20x = 134,540,639,600.64
  5. Step 5: Solve for x
    x = 134,540,639,600.64/394,035.20
  6. Step 6: Final answer
    x = 341,443.20

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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.