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Finding the Fourth Proportional to 397,321.30, 594,997.80 and 254,947.60

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Solution

The fourth proportional to 397,321.30, 594,997.80 and 254,947.60 is: 381,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,321.30 : 594,997.80 = 254,947.60 : x
  2. Step 2: Convert to fraction form
    397,321.30/594,997.80 = 254,947.60/x
  3. Step 3: Cross multiply
    397,321.30x = 594,997.80 × 254,947.60
  4. Step 4: Simplify right side
    397,321.30x = 151,693,261,115.28
  5. Step 5: Solve for x
    x = 151,693,261,115.28/397,321.30
  6. Step 6: Final answer
    x = 381,789.90

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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.