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Finding the Fourth Proportional to 419,704.12, 629,450.34 and 120,186.64

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Solution

The fourth proportional to 419,704.12, 629,450.34 and 120,186.64 is: 180,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,704.12 : 629,450.34 = 120,186.64 : x
  2. Step 2: Convert to fraction form
    419,704.12/629,450.34 = 120,186.64/x
  3. Step 3: Cross multiply
    419,704.12x = 629,450.34 × 120,186.64
  4. Step 4: Simplify right side
    419,704.12x = 75,651,521,411.46
  5. Step 5: Solve for x
    x = 75,651,521,411.46/419,704.12
  6. Step 6: Final answer
    x = 180,249.65

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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.