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Finding the Fourth Proportional to 218,758.27, 327,627.54 and 211,181.68

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Solution

The fourth proportional to 218,758.27, 327,627.54 and 211,181.68 is: 316,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,758.27 : 327,627.54 = 211,181.68 : x
  2. Step 2: Convert to fraction form
    218,758.27/327,627.54 = 211,181.68/x
  3. Step 3: Cross multiply
    218,758.27x = 327,627.54 × 211,181.68
  4. Step 4: Simplify right side
    218,758.27x = 69,188,934,721.00
  5. Step 5: Solve for x
    x = 69,188,934,721.00/218,758.27
  6. Step 6: Final answer
    x = 316,280.32

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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.