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Finding the Fourth Proportional to 270,951.20, 405,989.40 and 170,932.40

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Solution

The fourth proportional to 270,951.20, 405,989.40 and 170,932.40 is: 256,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,951.20 : 405,989.40 = 170,932.40 : x
  2. Step 2: Convert to fraction form
    270,951.20/405,989.40 = 170,932.40/x
  3. Step 3: Cross multiply
    270,951.20x = 405,989.40 × 170,932.40
  4. Step 4: Simplify right side
    270,951.20x = 69,396,742,516.56
  5. Step 5: Solve for x
    x = 69,396,742,516.56/270,951.20
  6. Step 6: Final answer
    x = 256,122.66

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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.