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Finding the Fourth Proportional to 218,742.80, 327,239.40 and 189,485.60

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Solution

The fourth proportional to 218,742.80, 327,239.40 and 189,485.60 is: 283,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,742.80 : 327,239.40 = 189,485.60 : x
  2. Step 2: Convert to fraction form
    218,742.80/327,239.40 = 189,485.60/x
  3. Step 3: Cross multiply
    218,742.80x = 327,239.40 × 189,485.60
  4. Step 4: Simplify right side
    218,742.80x = 62,007,154,052.64
  5. Step 5: Solve for x
    x = 62,007,154,052.64/218,742.80
  6. Step 6: Final answer
    x = 283,470.61

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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.