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Finding the Fourth Proportional to 270,755.72, 406,506.28 and 137,726

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Solution

The fourth proportional to 270,755.72, 406,506.28 and 137,726 is: 206,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,755.72 : 406,506.28 = 137,726 : x
  2. Step 2: Convert to fraction form
    270,755.72/406,506.28 = 137,726/x
  3. Step 3: Cross multiply
    270,755.72x = 406,506.28 × 137,726
  4. Step 4: Simplify right side
    270,755.72x = 55,986,483,919.28
  5. Step 5: Solve for x
    x = 55,986,483,919.28/270,755.72
  6. Step 6: Final answer
    x = 206,778.58

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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.