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Finding the Fourth Proportional to 218,728.80, 327,218.40 and 189,471.60

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Solution

The fourth proportional to 218,728.80, 327,218.40 and 189,471.60 is: 283,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,728.80 : 327,218.40 = 189,471.60 : x
  2. Step 2: Convert to fraction form
    218,728.80/327,218.40 = 189,471.60/x
  3. Step 3: Cross multiply
    218,728.80x = 327,218.40 × 189,471.60
  4. Step 4: Simplify right side
    218,728.80x = 61,998,593,797.44
  5. Step 5: Solve for x
    x = 61,998,593,797.44/218,728.80
  6. Step 6: Final answer
    x = 283,449.61

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1.5x scale

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.