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Finding the Fourth Proportional to 270,736.92, 406,096.76 and 128,684.39

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Solution

The fourth proportional to 270,736.92, 406,096.76 and 128,684.39 is: 193,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,736.92 : 406,096.76 = 128,684.39 : x
  2. Step 2: Convert to fraction form
    270,736.92/406,096.76 = 128,684.39/x
  3. Step 3: Cross multiply
    270,736.92x = 406,096.76 × 128,684.39
  4. Step 4: Simplify right side
    270,736.92x = 52,258,311,167.67
  5. Step 5: Solve for x
    x = 52,258,311,167.67/270,736.92
  6. Step 6: Final answer
    x = 193,022.48

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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.