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Finding the Fourth Proportional to 218,324.40, 327,659.40 and 85,268.40

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Solution

The fourth proportional to 218,324.40, 327,659.40 and 85,268.40 is: 127,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,324.40 : 327,659.40 = 85,268.40 : x
  2. Step 2: Convert to fraction form
    218,324.40/327,659.40 = 85,268.40/x
  3. Step 3: Cross multiply
    218,324.40x = 327,659.40 × 85,268.40
  4. Step 4: Simplify right side
    218,324.40x = 27,938,992,782.96
  5. Step 5: Solve for x
    x = 27,938,992,782.96/218,324.40
  6. Step 6: Final answer
    x = 127,970.09

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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.