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Finding the Fourth Proportional to 281,892.58, 422,009.40 and 188,165.86

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Solution

The fourth proportional to 281,892.58, 422,009.40 and 188,165.86 is: 281,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,892.58 : 422,009.40 = 188,165.86 : x
  2. Step 2: Convert to fraction form
    281,892.58/422,009.40 = 188,165.86/x
  3. Step 3: Cross multiply
    281,892.58x = 422,009.40 × 188,165.86
  4. Step 4: Simplify right side
    281,892.58x = 79,407,761,679.08
  5. Step 5: Solve for x
    x = 79,407,761,679.08/281,892.58
  6. Step 6: Final answer
    x = 281,695.11

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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.