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Finding the Fourth Proportional to 281,896.32, 422,015.04 and 188,169.60

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Solution

The fourth proportional to 281,896.32, 422,015.04 and 188,169.60 is: 281,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,896.32 : 422,015.04 = 188,169.60 : x
  2. Step 2: Convert to fraction form
    281,896.32/422,015.04 = 188,169.60/x
  3. Step 3: Cross multiply
    281,896.32x = 422,015.04 × 188,169.60
  4. Step 4: Simplify right side
    281,896.32x = 79,410,401,270.78
  5. Step 5: Solve for x
    x = 79,410,401,270.78/281,896.32
  6. Step 6: Final answer
    x = 281,700.74

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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.