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Finding the Fourth Proportional to 276,640.10, 414,960.15 and 171,664.10

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Solution

The fourth proportional to 276,640.10, 414,960.15 and 171,664.10 is: 257,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,640.10 : 414,960.15 = 171,664.10 : x
  2. Step 2: Convert to fraction form
    276,640.10/414,960.15 = 171,664.10/x
  3. Step 3: Cross multiply
    276,640.10x = 414,960.15 × 171,664.10
  4. Step 4: Simplify right side
    276,640.10x = 71,233,760,685.62
  5. Step 5: Solve for x
    x = 71,233,760,685.62/276,640.10
  6. Step 6: Final answer
    x = 257,496.15

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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.