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Finding the Fourth Proportional to 270,719.10, 406,078.65 and 165,743.10

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Solution

The fourth proportional to 270,719.10, 406,078.65 and 165,743.10 is: 248,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,719.10 : 406,078.65 = 165,743.10 : x
  2. Step 2: Convert to fraction form
    270,719.10/406,078.65 = 165,743.10/x
  3. Step 3: Cross multiply
    270,719.10x = 406,078.65 × 165,743.10
  4. Step 4: Simplify right side
    270,719.10x = 67,304,734,294.82
  5. Step 5: Solve for x
    x = 67,304,734,294.82/270,719.10
  6. Step 6: Final answer
    x = 248,614.65

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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.