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Finding the Fourth Proportional to 419,679.64, 629,705.36 and 219,952.28

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Solution

The fourth proportional to 419,679.64, 629,705.36 and 219,952.28 is: 330,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,679.64 : 629,705.36 = 219,952.28 : x
  2. Step 2: Convert to fraction form
    419,679.64/629,705.36 = 219,952.28/x
  3. Step 3: Cross multiply
    419,679.64x = 629,705.36 × 219,952.28
  4. Step 4: Simplify right side
    419,679.64x = 138,505,129,660.22
  5. Step 5: Solve for x
    x = 138,505,129,660.22/419,679.64
  6. Step 6: Final answer
    x = 330,025.85

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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.