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Finding the Fourth Proportional to 285,842.92, 394,434.78 and 165,023.20

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Solution

The fourth proportional to 285,842.92, 394,434.78 and 165,023.20 is: 227,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,842.92 : 394,434.78 = 165,023.20 : x
  2. Step 2: Convert to fraction form
    285,842.92/394,434.78 = 165,023.20/x
  3. Step 3: Cross multiply
    285,842.92x = 394,434.78 × 165,023.20
  4. Step 4: Simplify right side
    285,842.92x = 65,090,889,586.90
  5. Step 5: Solve for x
    x = 65,090,889,586.90/285,842.92
  6. Step 6: Final answer
    x = 227,715.59

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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.