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Finding the Fourth Proportional to 419,898.87, 629,658.72 and 120,310.83

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Solution

The fourth proportional to 419,898.87, 629,658.72 and 120,310.83 is: 180,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,898.87 : 629,658.72 = 120,310.83 : x
  2. Step 2: Convert to fraction form
    419,898.87/629,658.72 = 120,310.83/x
  3. Step 3: Cross multiply
    419,898.87x = 629,658.72 × 120,310.83
  4. Step 4: Simplify right side
    419,898.87x = 75,754,763,219.94
  5. Step 5: Solve for x
    x = 75,754,763,219.94/419,898.87
  6. Step 6: Final answer
    x = 180,411.92

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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.