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Finding the Fourth Proportional to 285,791.94, 394,395.21 and 158,469.66

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Solution

The fourth proportional to 285,791.94, 394,395.21 and 158,469.66 is: 218,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,791.94 : 394,395.21 = 158,469.66 : x
  2. Step 2: Convert to fraction form
    285,791.94/394,395.21 = 158,469.66/x
  3. Step 3: Cross multiply
    285,791.94x = 394,395.21 × 158,469.66
  4. Step 4: Simplify right side
    285,791.94x = 62,499,674,834.33
  5. Step 5: Solve for x
    x = 62,499,674,834.33/285,791.94
  6. Step 6: Final answer
    x = 218,689.42

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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.