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Finding the Fourth Proportional to 419,756.40, 629,448.84 and 120,168.72

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Solution

The fourth proportional to 419,756.40, 629,448.84 and 120,168.72 is: 180,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,756.40 : 629,448.84 = 120,168.72 : x
  2. Step 2: Convert to fraction form
    419,756.40/629,448.84 = 120,168.72/x
  3. Step 3: Cross multiply
    419,756.40x = 629,448.84 × 120,168.72
  4. Step 4: Simplify right side
    419,756.40x = 75,640,061,408.28
  5. Step 5: Solve for x
    x = 75,640,061,408.28/419,756.40
  6. Step 6: Final answer
    x = 180,199.90

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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.