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Finding the Fourth Proportional to 270,750.78, 406,498.83 and 137,720.97

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Solution

The fourth proportional to 270,750.78, 406,498.83 and 137,720.97 is: 206,771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,750.78 : 406,498.83 = 137,720.97 : x
  2. Step 2: Convert to fraction form
    270,750.78/406,498.83 = 137,720.97/x
  3. Step 3: Cross multiply
    270,750.78x = 406,498.83 × 137,720.97
  4. Step 4: Simplify right side
    270,750.78x = 55,983,413,171.47
  5. Step 5: Solve for x
    x = 55,983,413,171.47/270,750.78
  6. Step 6: Final answer
    x = 206,771.01

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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.