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Finding the Fourth Proportional to 270,939.80, 406,640.10 and 121,410.20

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Solution

The fourth proportional to 270,939.80, 406,640.10 and 121,410.20 is: 182,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,939.80 : 406,640.10 = 121,410.20 : x
  2. Step 2: Convert to fraction form
    270,939.80/406,640.10 = 121,410.20/x
  3. Step 3: Cross multiply
    270,939.80x = 406,640.10 × 121,410.20
  4. Step 4: Simplify right side
    270,939.80x = 49,370,255,869.02
  5. Step 5: Solve for x
    x = 49,370,255,869.02/270,939.80
  6. Step 6: Final answer
    x = 182,218.54

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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.