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Finding the Fourth Proportional to 394,009.44, 591,107.64 and 127,770

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Solution

The fourth proportional to 394,009.44, 591,107.64 and 127,770 is: 191,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,009.44 : 591,107.64 = 127,770 : x
  2. Step 2: Convert to fraction form
    394,009.44/591,107.64 = 127,770/x
  3. Step 3: Cross multiply
    394,009.44x = 591,107.64 × 127,770
  4. Step 4: Simplify right side
    394,009.44x = 75,525,823,162.80
  5. Step 5: Solve for x
    x = 75,525,823,162.80/394,009.44
  6. Step 6: Final answer
    x = 191,685.31

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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.