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Finding the Fourth Proportional to 306,321.57, 422,661.72 and 178,972.56

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Solution

The fourth proportional to 306,321.57, 422,661.72 and 178,972.56 is: 246,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,321.57 : 422,661.72 = 178,972.56 : x
  2. Step 2: Convert to fraction form
    306,321.57/422,661.72 = 178,972.56/x
  3. Step 3: Cross multiply
    306,321.57x = 422,661.72 × 178,972.56
  4. Step 4: Simplify right side
    306,321.57x = 75,644,850,042.40
  5. Step 5: Solve for x
    x = 75,644,850,042.40/306,321.57
  6. Step 6: Final answer
    x = 246,945.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.