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Finding the Fourth Proportional to 325,286.11, 487,807.81 and 111,993.77

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Solution

The fourth proportional to 325,286.11, 487,807.81 and 111,993.77 is: 167,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,286.11 : 487,807.81 = 111,993.77 : x
  2. Step 2: Convert to fraction form
    325,286.11/487,807.81 = 111,993.77/x
  3. Step 3: Cross multiply
    325,286.11x = 487,807.81 × 111,993.77
  4. Step 4: Simplify right side
    325,286.11x = 54,631,435,677.34
  5. Step 5: Solve for x
    x = 54,631,435,677.34/325,286.11
  6. Step 6: Final answer
    x = 167,948.87

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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.