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Finding the Fourth Proportional to 285,805.82, 394,383.60 and 164,986.02

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Solution

The fourth proportional to 285,805.82, 394,383.60 and 164,986.02 is: 227,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,805.82 : 394,383.60 = 164,986.02 : x
  2. Step 2: Convert to fraction form
    285,805.82/394,383.60 = 164,986.02/x
  3. Step 3: Cross multiply
    285,805.82x = 394,383.60 × 164,986.02
  4. Step 4: Simplify right side
    285,805.82x = 65,067,780,517.27
  5. Step 5: Solve for x
    x = 65,067,780,517.27/285,805.82
  6. Step 6: Final answer
    x = 227,664.30

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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.