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Finding the Fourth Proportional to 218,362.40, 327,716.40 and 85,306.40

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Solution

The fourth proportional to 218,362.40, 327,716.40 and 85,306.40 is: 128,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,362.40 : 327,716.40 = 85,306.40 : x
  2. Step 2: Convert to fraction form
    218,362.40/327,716.40 = 85,306.40/x
  3. Step 3: Cross multiply
    218,362.40x = 327,716.40 × 85,306.40
  4. Step 4: Simplify right side
    218,362.40x = 27,956,306,304.96
  5. Step 5: Solve for x
    x = 27,956,306,304.96/218,362.40
  6. Step 6: Final answer
    x = 128,027.11

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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.