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Finding the Fourth Proportional to 218,732.80, 327,224.40 and 189,475.60

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Solution

The fourth proportional to 218,732.80, 327,224.40 and 189,475.60 is: 283,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,732.80 : 327,224.40 = 189,475.60 : x
  2. Step 2: Convert to fraction form
    218,732.80/327,224.40 = 189,475.60/x
  3. Step 3: Cross multiply
    218,732.80x = 327,224.40 × 189,475.60
  4. Step 4: Simplify right side
    218,732.80x = 62,001,039,524.64
  5. Step 5: Solve for x
    x = 62,001,039,524.64/218,732.80
  6. Step 6: Final answer
    x = 283,455.61

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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.