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Finding the Fourth Proportional to 419,424.49, 629,236.50 and 135,141.94

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Solution

The fourth proportional to 419,424.49, 629,236.50 and 135,141.94 is: 202,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,424.49 : 629,236.50 = 135,141.94 : x
  2. Step 2: Convert to fraction form
    419,424.49/629,236.50 = 135,141.94/x
  3. Step 3: Cross multiply
    419,424.49x = 629,236.50 × 135,141.94
  4. Step 4: Simplify right side
    419,424.49x = 85,036,241,328.81
  5. Step 5: Solve for x
    x = 85,036,241,328.81/419,424.49
  6. Step 6: Final answer
    x = 202,745.06

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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.