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Finding the Fourth Proportional to 270,234.28, 405,409.40 and 80,709.60

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Solution

The fourth proportional to 270,234.28, 405,409.40 and 80,709.60 is: 121,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,234.28 : 405,409.40 = 80,709.60 : x
  2. Step 2: Convert to fraction form
    270,234.28/405,409.40 = 80,709.60/x
  3. Step 3: Cross multiply
    270,234.28x = 405,409.40 × 80,709.60
  4. Step 4: Simplify right side
    270,234.28x = 32,720,430,510.24
  5. Step 5: Solve for x
    x = 32,720,430,510.24/270,234.28
  6. Step 6: Final answer
    x = 121,081.72

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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.