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Finding the Fourth Proportional to 270,938.93, 406,464.89 and 81,391.64

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Solution

The fourth proportional to 270,938.93, 406,464.89 and 81,391.64 is: 122,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,938.93 : 406,464.89 = 81,391.64 : x
  2. Step 2: Convert to fraction form
    270,938.93/406,464.89 = 81,391.64/x
  3. Step 3: Cross multiply
    270,938.93x = 406,464.89 × 81,391.64
  4. Step 4: Simplify right side
    270,938.93x = 33,082,841,560.24
  5. Step 5: Solve for x
    x = 33,082,841,560.24/270,938.93
  6. Step 6: Final answer
    x = 122,104.42

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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.