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Finding the Fourth Proportional to 419,924.28, 629,701.14 and 120,336.87

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Solution

The fourth proportional to 419,924.28, 629,701.14 and 120,336.87 is: 180,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,924.28 : 629,701.14 = 120,336.87 : x
  2. Step 2: Convert to fraction form
    419,924.28/629,701.14 = 120,336.87/x
  3. Step 3: Cross multiply
    419,924.28x = 629,701.14 × 120,336.87
  4. Step 4: Simplify right side
    419,924.28x = 75,776,266,358.78
  5. Step 5: Solve for x
    x = 75,776,266,358.78/419,924.28
  6. Step 6: Final answer
    x = 180,452.21

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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.