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Finding the Fourth Proportional to 270,944.11, 406,400.52 and 81,400.42

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Solution

The fourth proportional to 270,944.11, 406,400.52 and 81,400.42 is: 122,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,944.11 : 406,400.52 = 81,400.42 : x
  2. Step 2: Convert to fraction form
    270,944.11/406,400.52 = 81,400.42/x
  3. Step 3: Cross multiply
    270,944.11x = 406,400.52 × 81,400.42
  4. Step 4: Simplify right side
    270,944.11x = 33,081,173,016.22
  5. Step 5: Solve for x
    x = 33,081,173,016.22/270,944.11
  6. Step 6: Final answer
    x = 122,095.93

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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.