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Finding the Fourth Proportional to 419,991.20, 629,989.32 and 104,448.12

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Solution

The fourth proportional to 419,991.20, 629,989.32 and 104,448.12 is: 156,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,991.20 : 629,989.32 = 104,448.12 : x
  2. Step 2: Convert to fraction form
    419,991.20/629,989.32 = 104,448.12/x
  3. Step 3: Cross multiply
    419,991.20x = 629,989.32 × 104,448.12
  4. Step 4: Simplify right side
    419,991.20x = 65,801,200,094.08
  5. Step 5: Solve for x
    x = 65,801,200,094.08/419,991.20
  6. Step 6: Final answer
    x = 156,672.81

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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.