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Finding the Fourth Proportional to 419,745.81, 629,804.21 and 220,018.44

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Solution

The fourth proportional to 419,745.81, 629,804.21 and 220,018.44 is: 330,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,745.81 : 629,804.21 = 220,018.44 : x
  2. Step 2: Convert to fraction form
    419,745.81/629,804.21 = 220,018.44/x
  3. Step 3: Cross multiply
    419,745.81x = 629,804.21 × 220,018.44
  4. Step 4: Simplify right side
    419,745.81x = 138,568,538,689.54
  5. Step 5: Solve for x
    x = 138,568,538,689.54/419,745.81
  6. Step 6: Final answer
    x = 330,124.89

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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.