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Finding the Fourth Proportional to 419,364.66, 629,067.76 and 119,889.37

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Solution

The fourth proportional to 419,364.66, 629,067.76 and 119,889.37 is: 179,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,364.66 : 629,067.76 = 119,889.37 : x
  2. Step 2: Convert to fraction form
    419,364.66/629,067.76 = 119,889.37/x
  3. Step 3: Cross multiply
    419,364.66x = 629,067.76 × 119,889.37
  4. Step 4: Simplify right side
    419,364.66x = 75,418,535,056.19
  5. Step 5: Solve for x
    x = 75,418,535,056.19/419,364.66
  6. Step 6: Final answer
    x = 179,839.99

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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.