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Finding the Fourth Proportional to 394,313.40, 591,470.10 and 225,768.60

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Solution

The fourth proportional to 394,313.40, 591,470.10 and 225,768.60 is: 338,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,313.40 : 591,470.10 = 225,768.60 : x
  2. Step 2: Convert to fraction form
    394,313.40/591,470.10 = 225,768.60/x
  3. Step 3: Cross multiply
    394,313.40x = 591,470.10 × 225,768.60
  4. Step 4: Simplify right side
    394,313.40x = 133,535,376,418.86
  5. Step 5: Solve for x
    x = 133,535,376,418.86/394,313.40
  6. Step 6: Final answer
    x = 338,652.90

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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.