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Finding the Fourth Proportional to 394,014.32, 591,104.52 and 127,754.08

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Solution

The fourth proportional to 394,014.32, 591,104.52 and 127,754.08 is: 191,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,014.32 : 591,104.52 = 127,754.08 : x
  2. Step 2: Convert to fraction form
    394,014.32/591,104.52 = 127,754.08/x
  3. Step 3: Cross multiply
    394,014.32x = 591,104.52 × 127,754.08
  4. Step 4: Simplify right side
    394,014.32x = 75,516,010,542.15
  5. Step 5: Solve for x
    x = 75,516,010,542.15/394,014.32
  6. Step 6: Final answer
    x = 191,658.03

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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.