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Finding the Fourth Proportional to 422,976.74, 583,716.98 and 231,989.67

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Solution

The fourth proportional to 422,976.74, 583,716.98 and 231,989.67 is: 320,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,976.74 : 583,716.98 = 231,989.67 : x
  2. Step 2: Convert to fraction form
    422,976.74/583,716.98 = 231,989.67/x
  3. Step 3: Cross multiply
    422,976.74x = 583,716.98 × 231,989.67
  4. Step 4: Simplify right side
    422,976.74x = 135,416,310,143.57
  5. Step 5: Solve for x
    x = 135,416,310,143.57/422,976.74
  6. Step 6: Final answer
    x = 320,150.73

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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.