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Finding the Fourth Proportional to 381,326, 572,147.64 and 167,984.72

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Solution

The fourth proportional to 381,326, 572,147.64 and 167,984.72 is: 252,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,326 : 572,147.64 = 167,984.72 : x
  2. Step 2: Convert to fraction form
    381,326/572,147.64 = 167,984.72/x
  3. Step 3: Cross multiply
    381,326x = 572,147.64 × 167,984.72
  4. Step 4: Simplify right side
    381,326x = 96,112,061,104.06
  5. Step 5: Solve for x
    x = 96,112,061,104.06/381,326
  6. Step 6: Final answer
    x = 252,046.97

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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.