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Finding the Fourth Proportional to 394,409.26, 591,707.31 and 128,169.82

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Solution

The fourth proportional to 394,409.26, 591,707.31 and 128,169.82 is: 192,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,409.26 : 591,707.31 = 128,169.82 : x
  2. Step 2: Convert to fraction form
    394,409.26/591,707.31 = 128,169.82/x
  3. Step 3: Cross multiply
    394,409.26x = 591,707.31 × 128,169.82
  4. Step 4: Simplify right side
    394,409.26x = 75,839,019,415.38
  5. Step 5: Solve for x
    x = 75,839,019,415.38/394,409.26
  6. Step 6: Final answer
    x = 192,285.09

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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.