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Finding the Fourth Proportional to 270,943.86, 406,434.42 and 81,396.30

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Solution

The fourth proportional to 270,943.86, 406,434.42 and 81,396.30 is: 122,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,943.86 : 406,434.42 = 81,396.30 : x
  2. Step 2: Convert to fraction form
    270,943.86/406,434.42 = 81,396.30/x
  3. Step 3: Cross multiply
    270,943.86x = 406,434.42 × 81,396.30
  4. Step 4: Simplify right side
    270,943.86x = 33,082,257,980.65
  5. Step 5: Solve for x
    x = 33,082,257,980.65/270,943.86
  6. Step 6: Final answer
    x = 122,100.05

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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.