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Finding the Fourth Proportional to 305,793.46, 422,448.21 and 201,263.91

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Solution

The fourth proportional to 305,793.46, 422,448.21 and 201,263.91 is: 278,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,793.46 : 422,448.21 = 201,263.91 : x
  2. Step 2: Convert to fraction form
    305,793.46/422,448.21 = 201,263.91/x
  3. Step 3: Cross multiply
    305,793.46x = 422,448.21 × 201,263.91
  4. Step 4: Simplify right side
    305,793.46x = 85,023,580,497.33
  5. Step 5: Solve for x
    x = 85,023,580,497.33/305,793.46
  6. Step 6: Final answer
    x = 278,042.51

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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.