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Finding the Fourth Proportional to 275,825.80, 413,738.70 and 256,142.80

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Solution

The fourth proportional to 275,825.80, 413,738.70 and 256,142.80 is: 384,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,825.80 : 413,738.70 = 256,142.80 : x
  2. Step 2: Convert to fraction form
    275,825.80/413,738.70 = 256,142.80/x
  3. Step 3: Cross multiply
    275,825.80x = 413,738.70 × 256,142.80
  4. Step 4: Simplify right side
    275,825.80x = 105,976,189,086.36
  5. Step 5: Solve for x
    x = 105,976,189,086.36/275,825.80
  6. Step 6: Final answer
    x = 384,214.20

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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.