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Finding the Fourth Proportional to 305,950.38, 422,093.43 and 225,568.86

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Solution

The fourth proportional to 305,950.38, 422,093.43 and 225,568.86 is: 311,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,950.38 : 422,093.43 = 225,568.86 : x
  2. Step 2: Convert to fraction form
    305,950.38/422,093.43 = 225,568.86/x
  3. Step 3: Cross multiply
    305,950.38x = 422,093.43 × 225,568.86
  4. Step 4: Simplify right side
    305,950.38x = 95,211,133,818.59
  5. Step 5: Solve for x
    x = 95,211,133,818.59/305,950.38
  6. Step 6: Final answer
    x = 311,197.96

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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.