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Finding the Fourth Proportional to 419,735.20, 629,679.60 and 170,442.40

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Solution

The fourth proportional to 419,735.20, 629,679.60 and 170,442.40 is: 255,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,735.20 : 629,679.60 = 170,442.40 : x
  2. Step 2: Convert to fraction form
    419,735.20/629,679.60 = 170,442.40/x
  3. Step 3: Cross multiply
    419,735.20x = 629,679.60 × 170,442.40
  4. Step 4: Simplify right side
    419,735.20x = 107,324,102,255.04
  5. Step 5: Solve for x
    x = 107,324,102,255.04/419,735.20
  6. Step 6: Final answer
    x = 255,694.79

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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.