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Finding the Fourth Proportional to 218,081.80, 327,122.70 and 202,335.40

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Solution

The fourth proportional to 218,081.80, 327,122.70 and 202,335.40 is: 303,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,081.80 : 327,122.70 = 202,335.40 : x
  2. Step 2: Convert to fraction form
    218,081.80/327,122.70 = 202,335.40/x
  3. Step 3: Cross multiply
    218,081.80x = 327,122.70 × 202,335.40
  4. Step 4: Simplify right side
    218,081.80x = 66,188,502,353.58
  5. Step 5: Solve for x
    x = 66,188,502,353.58/218,081.80
  6. Step 6: Final answer
    x = 303,503.10

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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.