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Finding the Fourth Proportional to 393,727.75, 543,344.31 and 214,879.75

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Solution

The fourth proportional to 393,727.75, 543,344.31 and 214,879.75 is: 296,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,727.75 : 543,344.31 = 214,879.75 : x
  2. Step 2: Convert to fraction form
    393,727.75/543,344.31 = 214,879.75/x
  3. Step 3: Cross multiply
    393,727.75x = 543,344.31 × 214,879.75
  4. Step 4: Simplify right side
    393,727.75x = 116,753,689,496.72
  5. Step 5: Solve for x
    x = 116,753,689,496.72/393,727.75
  6. Step 6: Final answer
    x = 296,534.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.