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Finding the Fourth Proportional to 419,993.40, 629,933.40 and 167,459.70

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Solution

The fourth proportional to 419,993.40, 629,933.40 and 167,459.70 is: 251,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,993.40 : 629,933.40 = 167,459.70 : x
  2. Step 2: Convert to fraction form
    419,993.40/629,933.40 = 167,459.70/x
  3. Step 3: Cross multiply
    419,993.40x = 629,933.40 × 167,459.70
  4. Step 4: Simplify right side
    419,993.40x = 105,488,458,183.98
  5. Step 5: Solve for x
    x = 105,488,458,183.98/419,993.40
  6. Step 6: Final answer
    x = 251,166.94

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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.