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Finding the Fourth Proportional to 270,973.44, 406,481.20 and 81,419.02

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Solution

The fourth proportional to 270,973.44, 406,481.20 and 81,419.02 is: 122,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,973.44 : 406,481.20 = 81,419.02 : x
  2. Step 2: Convert to fraction form
    270,973.44/406,481.20 = 81,419.02/x
  3. Step 3: Cross multiply
    270,973.44x = 406,481.20 × 81,419.02
  4. Step 4: Simplify right side
    270,973.44x = 33,095,299,732.67
  5. Step 5: Solve for x
    x = 33,095,299,732.67/270,973.44
  6. Step 6: Final answer
    x = 122,134.85

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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.