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Finding the Fourth Proportional to 419,456.62, 629,267.17 and 166,690.00

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Solution

The fourth proportional to 419,456.62, 629,267.17 and 166,690.00 is: 250,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,456.62 : 629,267.17 = 166,690.00 : x
  2. Step 2: Convert to fraction form
    419,456.62/629,267.17 = 166,690.00/x
  3. Step 3: Cross multiply
    419,456.62x = 629,267.17 × 166,690.00
  4. Step 4: Simplify right side
    419,456.62x = 104,892,543,410.86
  5. Step 5: Solve for x
    x = 104,892,543,410.86/419,456.62
  6. Step 6: Final answer
    x = 250,067.68

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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.