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Finding the Fourth Proportional to 419,546.88, 629,087.04 and 138,911.04

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Solution

The fourth proportional to 419,546.88, 629,087.04 and 138,911.04 is: 208,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,546.88 : 629,087.04 = 138,911.04 : x
  2. Step 2: Convert to fraction form
    419,546.88/629,087.04 = 138,911.04/x
  3. Step 3: Cross multiply
    419,546.88x = 629,087.04 × 138,911.04
  4. Step 4: Simplify right side
    419,546.88x = 87,387,134,976.92
  5. Step 5: Solve for x
    x = 87,387,134,976.92/419,546.88
  6. Step 6: Final answer
    x = 208,289.32

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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.