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Finding the Fourth Proportional to 270,861.60, 405,903.60 and 199,225.20

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Solution

The fourth proportional to 270,861.60, 405,903.60 and 199,225.20 is: 298,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,861.60 : 405,903.60 = 199,225.20 : x
  2. Step 2: Convert to fraction form
    270,861.60/405,903.60 = 199,225.20/x
  3. Step 3: Cross multiply
    270,861.60x = 405,903.60 × 199,225.20
  4. Step 4: Simplify right side
    270,861.60x = 80,866,225,890.72
  5. Step 5: Solve for x
    x = 80,866,225,890.72/270,861.60
  6. Step 6: Final answer
    x = 298,551.83

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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.