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Finding the Fourth Proportional to 393,845, 543,287.24 and 258,097.90

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Solution

The fourth proportional to 393,845, 543,287.24 and 258,097.90 is: 356,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,845 : 543,287.24 = 258,097.90 : x
  2. Step 2: Convert to fraction form
    393,845/543,287.24 = 258,097.90/x
  3. Step 3: Cross multiply
    393,845x = 543,287.24 × 258,097.90
  4. Step 4: Simplify right side
    393,845x = 140,221,295,740.80
  5. Step 5: Solve for x
    x = 140,221,295,740.80/393,845
  6. Step 6: Final answer
    x = 356,031.68

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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.