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Finding the Fourth Proportional to 218,115.20, 327,172.80 and 202,368.80

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Solution

The fourth proportional to 218,115.20, 327,172.80 and 202,368.80 is: 303,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,115.20 : 327,172.80 = 202,368.80 : x
  2. Step 2: Convert to fraction form
    218,115.20/327,172.80 = 202,368.80/x
  3. Step 3: Cross multiply
    218,115.20x = 327,172.80 × 202,368.80
  4. Step 4: Simplify right side
    218,115.20x = 66,209,566,928.64
  5. Step 5: Solve for x
    x = 66,209,566,928.64/218,115.20
  6. Step 6: Final answer
    x = 303,553.20

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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.