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Finding the Fourth Proportional to 419,794.16, 629,505.96 and 120,206.72

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Solution

The fourth proportional to 419,794.16, 629,505.96 and 120,206.72 is: 180,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,794.16 : 629,505.96 = 120,206.72 : x
  2. Step 2: Convert to fraction form
    419,794.16/629,505.96 = 120,206.72/x
  3. Step 3: Cross multiply
    419,794.16x = 629,505.96 × 120,206.72
  4. Step 4: Simplify right side
    419,794.16x = 75,670,846,672.05
  5. Step 5: Solve for x
    x = 75,670,846,672.05/419,794.16
  6. Step 6: Final answer
    x = 180,257.03

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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.