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Finding the Fourth Proportional to 419,770.96, 629,423.12 and 170,161.36

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Solution

The fourth proportional to 419,770.96, 629,423.12 and 170,161.36 is: 255,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,770.96 : 629,423.12 = 170,161.36 : x
  2. Step 2: Convert to fraction form
    419,770.96/629,423.12 = 170,161.36/x
  3. Step 3: Cross multiply
    419,770.96x = 629,423.12 × 170,161.36
  4. Step 4: Simplify right side
    419,770.96x = 107,103,494,114.64
  5. Step 5: Solve for x
    x = 107,103,494,114.64/419,770.96
  6. Step 6: Final answer
    x = 255,147.46

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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.