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Finding the Fourth Proportional to 327,709.60, 491,276.40 and 222,186.40

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Solution

The fourth proportional to 327,709.60, 491,276.40 and 222,186.40 is: 333,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,709.60 : 491,276.40 = 222,186.40 : x
  2. Step 2: Convert to fraction form
    327,709.60/491,276.40 = 222,186.40/x
  3. Step 3: Cross multiply
    327,709.60x = 491,276.40 × 222,186.40
  4. Step 4: Simplify right side
    327,709.60x = 109,154,934,720.96
  5. Step 5: Solve for x
    x = 109,154,934,720.96/327,709.60
  6. Step 6: Final answer
    x = 333,084.34

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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.