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Finding the Fourth Proportional to 394,007.44, 591,104.64 and 127,768

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Solution

The fourth proportional to 394,007.44, 591,104.64 and 127,768 is: 191,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,007.44 : 591,104.64 = 127,768 : x
  2. Step 2: Convert to fraction form
    394,007.44/591,104.64 = 127,768/x
  3. Step 3: Cross multiply
    394,007.44x = 591,104.64 × 127,768
  4. Step 4: Simplify right side
    394,007.44x = 75,524,257,643.52
  5. Step 5: Solve for x
    x = 75,524,257,643.52/394,007.44
  6. Step 6: Final answer
    x = 191,682.31

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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.