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Finding the Fourth Proportional to 270,845.66, 406,268 and 81,305.84

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Solution

The fourth proportional to 270,845.66, 406,268 and 81,305.84 is: 121,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,845.66 : 406,268 = 81,305.84 : x
  2. Step 2: Convert to fraction form
    270,845.66/406,268 = 81,305.84/x
  3. Step 3: Cross multiply
    270,845.66x = 406,268 × 81,305.84
  4. Step 4: Simplify right side
    270,845.66x = 33,031,961,005.12
  5. Step 5: Solve for x
    x = 33,031,961,005.12/270,845.66
  6. Step 6: Final answer
    x = 121,958.61

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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.