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Finding the Fourth Proportional to 277,816.72, 416,287.26 and 214,790.56

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Solution

The fourth proportional to 277,816.72, 416,287.26 and 214,790.56 is: 321,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,816.72 : 416,287.26 = 214,790.56 : x
  2. Step 2: Convert to fraction form
    277,816.72/416,287.26 = 214,790.56/x
  3. Step 3: Cross multiply
    277,816.72x = 416,287.26 × 214,790.56
  4. Step 4: Simplify right side
    277,816.72x = 89,414,573,696.27
  5. Step 5: Solve for x
    x = 89,414,573,696.27/277,816.72
  6. Step 6: Final answer
    x = 321,847.34

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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.