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Finding the Fourth Proportional to 285,614.85, 394,148.48 and 158,298.65

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Solution

The fourth proportional to 285,614.85, 394,148.48 and 158,298.65 is: 218,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,614.85 : 394,148.48 = 158,298.65 : x
  2. Step 2: Convert to fraction form
    285,614.85/394,148.48 = 158,298.65/x
  3. Step 3: Cross multiply
    285,614.85x = 394,148.48 × 158,298.65
  4. Step 4: Simplify right side
    285,614.85x = 62,393,170,708.56
  5. Step 5: Solve for x
    x = 62,393,170,708.56/285,614.85
  6. Step 6: Final answer
    x = 218,452.12

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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.