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Finding the Fourth Proportional to 393,680.50, 543,137.01 and 257,791.94

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Solution

The fourth proportional to 393,680.50, 543,137.01 and 257,791.94 is: 355,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,680.50 : 543,137.01 = 257,791.94 : x
  2. Step 2: Convert to fraction form
    393,680.50/543,137.01 = 257,791.94/x
  3. Step 3: Cross multiply
    393,680.50x = 543,137.01 × 257,791.94
  4. Step 4: Simplify right side
    393,680.50x = 140,016,343,738.15
  5. Step 5: Solve for x
    x = 140,016,343,738.15/393,680.50
  6. Step 6: Final answer
    x = 355,659.84

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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.