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Finding the Fourth Proportional to 419,456.25, 629,266.61 and 166,689.62

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Solution

The fourth proportional to 419,456.25, 629,266.61 and 166,689.62 is: 250,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,456.25 : 629,266.61 = 166,689.62 : x
  2. Step 2: Convert to fraction form
    419,456.25/629,266.61 = 166,689.62/x
  3. Step 3: Cross multiply
    419,456.25x = 629,266.61 × 166,689.62
  4. Step 4: Simplify right side
    419,456.25x = 104,892,214,089.48
  5. Step 5: Solve for x
    x = 104,892,214,089.48/419,456.25
  6. Step 6: Final answer
    x = 250,067.11

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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.