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Finding the Fourth Proportional to 332,378.40, 498,470.40 and 119,121.60

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Solution

The fourth proportional to 332,378.40, 498,470.40 and 119,121.60 is: 178,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,378.40 : 498,470.40 = 119,121.60 : x
  2. Step 2: Convert to fraction form
    332,378.40/498,470.40 = 119,121.60/x
  3. Step 3: Cross multiply
    332,378.40x = 498,470.40 × 119,121.60
  4. Step 4: Simplify right side
    332,378.40x = 59,378,591,600.64
  5. Step 5: Solve for x
    x = 59,378,591,600.64/332,378.40
  6. Step 6: Final answer
    x = 178,647.56

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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.