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Finding the Fourth Proportional to 419,896.44, 629,825.46 and 135,600.12

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Solution

The fourth proportional to 419,896.44, 629,825.46 and 135,600.12 is: 203,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,896.44 : 629,825.46 = 135,600.12 : x
  2. Step 2: Convert to fraction form
    419,896.44/629,825.46 = 135,600.12/x
  3. Step 3: Cross multiply
    419,896.44x = 629,825.46 × 135,600.12
  4. Step 4: Simplify right side
    419,896.44x = 85,404,407,955.06
  5. Step 5: Solve for x
    x = 85,404,407,955.06/419,896.44
  6. Step 6: Final answer
    x = 203,393.98

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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.