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Finding the Fourth Proportional to 285,696.39, 394,234.52 and 158,361.15

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Solution

The fourth proportional to 285,696.39, 394,234.52 and 158,361.15 is: 218,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,696.39 : 394,234.52 = 158,361.15 : x
  2. Step 2: Convert to fraction form
    285,696.39/394,234.52 = 158,361.15/x
  3. Step 3: Cross multiply
    285,696.39x = 394,234.52 × 158,361.15
  4. Step 4: Simplify right side
    285,696.39x = 62,431,431,165.09
  5. Step 5: Solve for x
    x = 62,431,431,165.09/285,696.39
  6. Step 6: Final answer
    x = 218,523.70

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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.