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Finding the Fourth Proportional to 393,760.78, 543,247.76 and 257,872.21

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Solution

The fourth proportional to 393,760.78, 543,247.76 and 257,872.21 is: 355,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,760.78 : 543,247.76 = 257,872.21 : x
  2. Step 2: Convert to fraction form
    393,760.78/543,247.76 = 257,872.21/x
  3. Step 3: Cross multiply
    393,760.78x = 543,247.76 × 257,872.21
  4. Step 4: Simplify right side
    393,760.78x = 140,088,499,735.31
  5. Step 5: Solve for x
    x = 140,088,499,735.31/393,760.78
  6. Step 6: Final answer
    x = 355,770.58

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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.