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Finding the Fourth Proportional to 419,984.11, 629,978.67 and 104,441.02

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Solution

The fourth proportional to 419,984.11, 629,978.67 and 104,441.02 is: 156,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,984.11 : 629,978.67 = 104,441.02 : x
  2. Step 2: Convert to fraction form
    419,984.11/629,978.67 = 104,441.02/x
  3. Step 3: Cross multiply
    419,984.11x = 629,978.67 × 104,441.02
  4. Step 4: Simplify right side
    419,984.11x = 65,795,614,873.04
  5. Step 5: Solve for x
    x = 65,795,614,873.04/419,984.11
  6. Step 6: Final answer
    x = 156,662.15

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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.