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Finding the Fourth Proportional to 419,708.82, 629,653.18 and 135,415.56

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Solution

The fourth proportional to 419,708.82, 629,653.18 and 135,415.56 is: 203,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,708.82 : 629,653.18 = 135,415.56 : x
  2. Step 2: Convert to fraction form
    419,708.82/629,653.18 = 135,415.56/x
  3. Step 3: Cross multiply
    419,708.82x = 629,653.18 × 135,415.56
  4. Step 4: Simplify right side
    419,708.82x = 85,264,837,975.48
  5. Step 5: Solve for x
    x = 85,264,837,975.48/419,708.82
  6. Step 6: Final answer
    x = 203,152.36

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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.