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Finding the Fourth Proportional to 394,042.76, 591,157.56 and 127,803.32

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Solution

The fourth proportional to 394,042.76, 591,157.56 and 127,803.32 is: 191,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,042.76 : 591,157.56 = 127,803.32 : x
  2. Step 2: Convert to fraction form
    394,042.76/591,157.56 = 127,803.32/x
  3. Step 3: Cross multiply
    394,042.76x = 591,157.56 × 127,803.32
  4. Step 4: Simplify right side
    394,042.76x = 75,551,898,811.10
  5. Step 5: Solve for x
    x = 75,551,898,811.10/394,042.76
  6. Step 6: Final answer
    x = 191,735.28

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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.