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Finding the Fourth Proportional to 270,865.60, 405,909.60 and 199,229.20

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Solution

The fourth proportional to 270,865.60, 405,909.60 and 199,229.20 is: 298,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,865.60 : 405,909.60 = 199,229.20 : x
  2. Step 2: Convert to fraction form
    270,865.60/405,909.60 = 199,229.20/x
  3. Step 3: Cross multiply
    270,865.60x = 405,909.60 × 199,229.20
  4. Step 4: Simplify right side
    270,865.60x = 80,869,044,880.32
  5. Step 5: Solve for x
    x = 80,869,044,880.32/270,865.60
  6. Step 6: Final answer
    x = 298,557.83

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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.