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Finding the Fourth Proportional to 285,797.10, 394,399.35 and 158,469.42

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Solution

The fourth proportional to 285,797.10, 394,399.35 and 158,469.42 is: 218,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,797.10 : 394,399.35 = 158,469.42 : x
  2. Step 2: Convert to fraction form
    285,797.10/394,399.35 = 158,469.42/x
  3. Step 3: Cross multiply
    285,797.10x = 394,399.35 × 158,469.42
  4. Step 4: Simplify right side
    285,797.10x = 62,500,236,242.88
  5. Step 5: Solve for x
    x = 62,500,236,242.88/285,797.10
  6. Step 6: Final answer
    x = 218,687.44

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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.