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Finding the Fourth Proportional to 419,965.44, 629,325.84 and 345,613.92

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Solution

The fourth proportional to 419,965.44, 629,325.84 and 345,613.92 is: 517,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,965.44 : 629,325.84 = 345,613.92 : x
  2. Step 2: Convert to fraction form
    419,965.44/629,325.84 = 345,613.92/x
  3. Step 3: Cross multiply
    419,965.44x = 629,325.84 × 345,613.92
  4. Step 4: Simplify right side
    419,965.44x = 217,503,770,519.69
  5. Step 5: Solve for x
    x = 217,503,770,519.69/419,965.44
  6. Step 6: Final answer
    x = 517,908.74

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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.