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Finding the Fourth Proportional to 419,696.82, 629,635.19 and 135,403.56

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Solution

The fourth proportional to 419,696.82, 629,635.19 and 135,403.56 is: 203,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,696.82 : 629,635.19 = 135,403.56 : x
  2. Step 2: Convert to fraction form
    419,696.82/629,635.19 = 135,403.56/x
  3. Step 3: Cross multiply
    419,696.82x = 629,635.19 × 135,403.56
  4. Step 4: Simplify right side
    419,696.82x = 85,254,845,550.26
  5. Step 5: Solve for x
    x = 85,254,845,550.26/419,696.82
  6. Step 6: Final answer
    x = 203,134.36

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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.