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Finding the Fourth Proportional to 394,019.44, 591,004.84 and 157,191.64

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Solution

The fourth proportional to 394,019.44, 591,004.84 and 157,191.64 is: 235,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,019.44 : 591,004.84 = 157,191.64 : x
  2. Step 2: Convert to fraction form
    394,019.44/591,004.84 = 157,191.64/x
  3. Step 3: Cross multiply
    394,019.44x = 591,004.84 × 157,191.64
  4. Step 4: Simplify right side
    394,019.44x = 92,901,020,047.54
  5. Step 5: Solve for x
    x = 92,901,020,047.54/394,019.44
  6. Step 6: Final answer
    x = 235,777.76

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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.