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Finding the Fourth Proportional to 393,843.50, 543,285.17 and 258,096.41

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Solution

The fourth proportional to 393,843.50, 543,285.17 and 258,096.41 is: 356,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,843.50 : 543,285.17 = 258,096.41 : x
  2. Step 2: Convert to fraction form
    393,843.50/543,285.17 = 258,096.41/x
  3. Step 3: Cross multiply
    393,843.50x = 543,285.17 × 258,096.41
  4. Step 4: Simplify right side
    393,843.50x = 140,219,949,266.81
  5. Step 5: Solve for x
    x = 140,219,949,266.81/393,843.50
  6. Step 6: Final answer
    x = 356,029.62

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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.