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Finding the Fourth Proportional to 1,978,681.97, 2,731,284.46 and 1,203,959.09

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Solution

The fourth proportional to 1,978,681.97, 2,731,284.46 and 1,203,959.09 is: 1,661,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,681.97 : 2,731,284.46 = 1,203,959.09 : x
  2. Step 2: Convert to fraction form
    1,978,681.97/2,731,284.46 = 1,203,959.09/x
  3. Step 3: Cross multiply
    1,978,681.97x = 2,731,284.46 × 1,203,959.09
  4. Step 4: Simplify right side
    1,978,681.97x = 3,288,354,761,325.90
  5. Step 5: Solve for x
    x = 3,288,354,761,325.90/1,978,681.97
  6. Step 6: Final answer
    x = 1,661,891.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.