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Finding the Fourth Proportional to 270,930.60, 406,007.10 and 199,294.20

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Solution

The fourth proportional to 270,930.60, 406,007.10 and 199,294.20 is: 298,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,930.60 : 406,007.10 = 199,294.20 : x
  2. Step 2: Convert to fraction form
    270,930.60/406,007.10 = 199,294.20/x
  3. Step 3: Cross multiply
    270,930.60x = 406,007.10 × 199,294.20
  4. Step 4: Simplify right side
    270,930.60x = 80,914,860,188.82
  5. Step 5: Solve for x
    x = 80,914,860,188.82/270,930.60
  6. Step 6: Final answer
    x = 298,655.30

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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.