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Finding the Fourth Proportional to 285,872.78, 394,528.67 and 158,589.38

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Solution

The fourth proportional to 285,872.78, 394,528.67 and 158,589.38 is: 218,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,872.78 : 394,528.67 = 158,589.38 : x
  2. Step 2: Convert to fraction form
    285,872.78/394,528.67 = 158,589.38/x
  3. Step 3: Cross multiply
    285,872.78x = 394,528.67 × 158,589.38
  4. Step 4: Simplify right side
    285,872.78x = 62,568,054,401.93
  5. Step 5: Solve for x
    x = 62,568,054,401.93/285,872.78
  6. Step 6: Final answer
    x = 218,866.78

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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.