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Finding the Fourth Proportional to 218,473.78, 327,376.84 and 147,132.62

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Solution

The fourth proportional to 218,473.78, 327,376.84 and 147,132.62 is: 220,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,473.78 : 327,376.84 = 147,132.62 : x
  2. Step 2: Convert to fraction form
    218,473.78/327,376.84 = 147,132.62/x
  3. Step 3: Cross multiply
    218,473.78x = 327,376.84 × 147,132.62
  4. Step 4: Simplify right side
    218,473.78x = 48,167,812,196.52
  5. Step 5: Solve for x
    x = 48,167,812,196.52/218,473.78
  6. Step 6: Final answer
    x = 220,474.11

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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.