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Finding the Fourth Proportional to 285,851.80, 394,456.26 and 158,522.68

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Solution

The fourth proportional to 285,851.80, 394,456.26 and 158,522.68 is: 218,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,851.80 : 394,456.26 = 158,522.68 : x
  2. Step 2: Convert to fraction form
    285,851.80/394,456.26 = 158,522.68/x
  3. Step 3: Cross multiply
    285,851.80x = 394,456.26 × 158,522.68
  4. Step 4: Simplify right side
    285,851.80x = 62,530,263,477.98
  5. Step 5: Solve for x
    x = 62,530,263,477.98/285,851.80
  6. Step 6: Final answer
    x = 218,750.64

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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.