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Finding the Fourth Proportional to 481,470.80, 722,321.40 and 231,947.60

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Solution

The fourth proportional to 481,470.80, 722,321.40 and 231,947.60 is: 347,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,470.80 : 722,321.40 = 231,947.60 : x
  2. Step 2: Convert to fraction form
    481,470.80/722,321.40 = 231,947.60/x
  3. Step 3: Cross multiply
    481,470.80x = 722,321.40 × 231,947.60
  4. Step 4: Simplify right side
    481,470.80x = 167,540,715,158.64
  5. Step 5: Solve for x
    x = 167,540,715,158.64/481,470.80
  6. Step 6: Final answer
    x = 347,976.90

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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.