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Finding the Fourth Proportional to 307,974, 425,004.12 and 166,662

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Solution

The fourth proportional to 307,974, 425,004.12 and 166,662 is: 229,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,974 : 425,004.12 = 166,662 : x
  2. Step 2: Convert to fraction form
    307,974/425,004.12 = 166,662/x
  3. Step 3: Cross multiply
    307,974x = 425,004.12 × 166,662
  4. Step 4: Simplify right side
    307,974x = 70,832,036,647.44
  5. Step 5: Solve for x
    x = 70,832,036,647.44/307,974
  6. Step 6: Final answer
    x = 229,993.56

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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.