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Finding the Fourth Proportional to 393,847.31, 543,290.42 and 258,100.22

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Solution

The fourth proportional to 393,847.31, 543,290.42 and 258,100.22 is: 356,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,847.31 : 543,290.42 = 258,100.22 : x
  2. Step 2: Convert to fraction form
    393,847.31/543,290.42 = 258,100.22/x
  3. Step 3: Cross multiply
    393,847.31x = 543,290.42 × 258,100.22
  4. Step 4: Simplify right side
    393,847.31x = 140,223,372,918.94
  5. Step 5: Solve for x
    x = 140,223,372,918.94/393,847.31
  6. Step 6: Final answer
    x = 356,034.87

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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.