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Finding the Fourth Proportional to 307,992, 425,030.24 and 166,680

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Solution

The fourth proportional to 307,992, 425,030.24 and 166,680 is: 230,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,992 : 425,030.24 = 166,680 : x
  2. Step 2: Convert to fraction form
    307,992/425,030.24 = 166,680/x
  3. Step 3: Cross multiply
    307,992x = 425,030.24 × 166,680
  4. Step 4: Simplify right side
    307,992x = 70,844,040,403.20
  5. Step 5: Solve for x
    x = 70,844,040,403.20/307,992
  6. Step 6: Final answer
    x = 230,019.09

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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.