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Finding the Fourth Proportional to 393,843.56, 543,285.26 and 258,096.47

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Solution

The fourth proportional to 393,843.56, 543,285.26 and 258,096.47 is: 356,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,843.56 : 543,285.26 = 258,096.47 : x
  2. Step 2: Convert to fraction form
    393,843.56/543,285.26 = 258,096.47/x
  3. Step 3: Cross multiply
    393,843.56x = 543,285.26 × 258,096.47
  4. Step 4: Simplify right side
    393,843.56x = 140,220,004,769.99
  5. Step 5: Solve for x
    x = 140,220,004,769.99/393,843.56
  6. Step 6: Final answer
    x = 356,029.71

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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.