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Finding the Fourth Proportional to 419,771.46, 629,423.87 and 170,161.86

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Solution

The fourth proportional to 419,771.46, 629,423.87 and 170,161.86 is: 255,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,771.46 : 629,423.87 = 170,161.86 : x
  2. Step 2: Convert to fraction form
    419,771.46/629,423.87 = 170,161.86/x
  3. Step 3: Cross multiply
    419,771.46x = 629,423.87 × 170,161.86
  4. Step 4: Simplify right side
    419,771.46x = 107,103,936,447.60
  5. Step 5: Solve for x
    x = 107,103,936,447.60/419,771.46
  6. Step 6: Final answer
    x = 255,148.21

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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.