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Finding the Fourth Proportional to 270,805.20, 406,207.80 and 266,139.60

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Solution

The fourth proportional to 270,805.20, 406,207.80 and 266,139.60 is: 399,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,805.20 : 406,207.80 = 266,139.60 : x
  2. Step 2: Convert to fraction form
    270,805.20/406,207.80 = 266,139.60/x
  3. Step 3: Cross multiply
    270,805.20x = 406,207.80 × 266,139.60
  4. Step 4: Simplify right side
    270,805.20x = 108,107,981,408.88
  5. Step 5: Solve for x
    x = 108,107,981,408.88/270,805.20
  6. Step 6: Final answer
    x = 399,209.40

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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.