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Finding the Fourth Proportional to 305,872.44, 422,149.98 and 220,115.34

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Solution

The fourth proportional to 305,872.44, 422,149.98 and 220,115.34 is: 303,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,872.44 : 422,149.98 = 220,115.34 : x
  2. Step 2: Convert to fraction form
    305,872.44/422,149.98 = 220,115.34/x
  3. Step 3: Cross multiply
    305,872.44x = 422,149.98 × 220,115.34
  4. Step 4: Simplify right side
    305,872.44x = 92,921,686,378.69
  5. Step 5: Solve for x
    x = 92,921,686,378.69/305,872.44
  6. Step 6: Final answer
    x = 303,792.28

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1.5x scale

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.