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Finding the Fourth Proportional to 419,677.58, 629,454.87 and 206,388.18

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Solution

The fourth proportional to 419,677.58, 629,454.87 and 206,388.18 is: 309,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,677.58 : 629,454.87 = 206,388.18 : x
  2. Step 2: Convert to fraction form
    419,677.58/629,454.87 = 206,388.18/x
  3. Step 3: Cross multiply
    419,677.58x = 629,454.87 × 206,388.18
  4. Step 4: Simplify right side
    419,677.58x = 129,912,043,821.56
  5. Step 5: Solve for x
    x = 129,912,043,821.56/419,677.58
  6. Step 6: Final answer
    x = 309,552.02

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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.