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Finding the Fourth Proportional to 3,978,993.90, 5,969,083.41 and 1,420,010.22

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Solution

The fourth proportional to 3,978,993.90, 5,969,083.41 and 1,420,010.22 is: 2,130,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978,993.90 : 5,969,083.41 = 1,420,010.22 : x
  2. Step 2: Convert to fraction form
    3,978,993.90/5,969,083.41 = 1,420,010.22/x
  3. Step 3: Cross multiply
    3,978,993.90x = 5,969,083.41 × 1,420,010.22
  4. Step 4: Simplify right side
    3,978,993.90x = 8,476,159,446,232.45
  5. Step 5: Solve for x
    x = 8,476,159,446,232.45/3,978,993.90
  6. Step 6: Final answer
    x = 2,130,226.80

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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.