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Finding the Fourth Proportional to 270,824.79, 406,105.96 and 135,830.86

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Solution

The fourth proportional to 270,824.79, 406,105.96 and 135,830.86 is: 203,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,824.79 : 406,105.96 = 135,830.86 : x
  2. Step 2: Convert to fraction form
    270,824.79/406,105.96 = 135,830.86/x
  3. Step 3: Cross multiply
    270,824.79x = 406,105.96 × 135,830.86
  4. Step 4: Simplify right side
    270,824.79x = 55,161,719,937.18
  5. Step 5: Solve for x
    x = 55,161,719,937.18/270,824.79
  6. Step 6: Final answer
    x = 203,680.47

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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.