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Finding the Fourth Proportional to 394,531.65, 591,409.89 and 154,469.52

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Solution

The fourth proportional to 394,531.65, 591,409.89 and 154,469.52 is: 231,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,531.65 : 591,409.89 = 154,469.52 : x
  2. Step 2: Convert to fraction form
    394,531.65/591,409.89 = 154,469.52/x
  3. Step 3: Cross multiply
    394,531.65x = 591,409.89 × 154,469.52
  4. Step 4: Simplify right side
    394,531.65x = 91,354,801,831.55
  5. Step 5: Solve for x
    x = 91,354,801,831.55/394,531.65
  6. Step 6: Final answer
    x = 231,552.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.