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Finding the Fourth Proportional to 285,924.80, 394,568.60 and 165,062

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Solution

The fourth proportional to 285,924.80, 394,568.60 and 165,062 is: 227,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,924.80 : 394,568.60 = 165,062 : x
  2. Step 2: Convert to fraction form
    285,924.80/394,568.60 = 165,062/x
  3. Step 3: Cross multiply
    285,924.80x = 394,568.60 × 165,062
  4. Step 4: Simplify right side
    285,924.80x = 65,128,282,253.20
  5. Step 5: Solve for x
    x = 65,128,282,253.20/285,924.80
  6. Step 6: Final answer
    x = 227,781.16

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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.