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Finding the Fourth Proportional to 1,408,687.57, 1,943,936.31 and 764,086.33

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Solution

The fourth proportional to 1,408,687.57, 1,943,936.31 and 764,086.33 is: 1,054,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,687.57 : 1,943,936.31 = 764,086.33 : x
  2. Step 2: Convert to fraction form
    1,408,687.57/1,943,936.31 = 764,086.33/x
  3. Step 3: Cross multiply
    1,408,687.57x = 1,943,936.31 × 764,086.33
  4. Step 4: Simplify right side
    1,408,687.57x = 1,485,335,160,861.64
  5. Step 5: Solve for x
    x = 1,485,335,160,861.64/1,408,687.57
  6. Step 6: Final answer
    x = 1,054,410.64

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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.