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Finding the Fourth Proportional to 281,891.58, 422,007.90 and 188,164.86

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Solution

The fourth proportional to 281,891.58, 422,007.90 and 188,164.86 is: 281,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,891.58 : 422,007.90 = 188,164.86 : x
  2. Step 2: Convert to fraction form
    281,891.58/422,007.90 = 188,164.86/x
  3. Step 3: Cross multiply
    281,891.58x = 422,007.90 × 188,164.86
  4. Step 4: Simplify right side
    281,891.58x = 79,407,057,422.39
  5. Step 5: Solve for x
    x = 79,407,057,422.39/281,891.58
  6. Step 6: Final answer
    x = 281,693.61

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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.