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Finding the Fourth Proportional to 270,739, 406,100.22 and 128,686.60

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Solution

The fourth proportional to 270,739, 406,100.22 and 128,686.60 is: 193,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,739 : 406,100.22 = 128,686.60 : x
  2. Step 2: Convert to fraction form
    270,739/406,100.22 = 128,686.60/x
  3. Step 3: Cross multiply
    270,739x = 406,100.22 × 128,686.60
  4. Step 4: Simplify right side
    270,739x = 52,259,656,571.05
  5. Step 5: Solve for x
    x = 52,259,656,571.05/270,739
  6. Step 6: Final answer
    x = 193,025.96

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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.