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Finding the Fourth Proportional to 394,735.80, 591,812.10 and 169,912.20

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Solution

The fourth proportional to 394,735.80, 591,812.10 and 169,912.20 is: 254,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,735.80 : 591,812.10 = 169,912.20 : x
  2. Step 2: Convert to fraction form
    394,735.80/591,812.10 = 169,912.20/x
  3. Step 3: Cross multiply
    394,735.80x = 591,812.10 × 169,912.20
  4. Step 4: Simplify right side
    394,735.80x = 100,556,095,897.62
  5. Step 5: Solve for x
    x = 100,556,095,897.62/394,735.80
  6. Step 6: Final answer
    x = 254,742.78

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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.