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Finding the Fourth Proportional to 276,640.60, 414,960.90 and 171,664.60

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Solution

The fourth proportional to 276,640.60, 414,960.90 and 171,664.60 is: 257,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,640.60 : 414,960.90 = 171,664.60 : x
  2. Step 2: Convert to fraction form
    276,640.60/414,960.90 = 171,664.60/x
  3. Step 3: Cross multiply
    276,640.60x = 414,960.90 × 171,664.60
  4. Step 4: Simplify right side
    276,640.60x = 71,234,096,914.14
  5. Step 5: Solve for x
    x = 71,234,096,914.14/276,640.60
  6. Step 6: Final answer
    x = 257,496.90

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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.