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Finding the Fourth Proportional to 419,643.74, 629,563.94 and 166,938.62

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Solution

The fourth proportional to 419,643.74, 629,563.94 and 166,938.62 is: 250,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,643.74 : 629,563.94 = 166,938.62 : x
  2. Step 2: Convert to fraction form
    419,643.74/629,563.94 = 166,938.62/x
  3. Step 3: Cross multiply
    419,643.74x = 629,563.94 × 166,938.62
  4. Step 4: Simplify right side
    419,643.74x = 105,098,536,469.20
  5. Step 5: Solve for x
    x = 105,098,536,469.20/419,643.74
  6. Step 6: Final answer
    x = 250,447.05

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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.