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Finding the Fourth Proportional to 258,112.80, 387,169.20 and 204,968.70

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Solution

The fourth proportional to 258,112.80, 387,169.20 and 204,968.70 is: 307,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,112.80 : 387,169.20 = 204,968.70 : x
  2. Step 2: Convert to fraction form
    258,112.80/387,169.20 = 204,968.70/x
  3. Step 3: Cross multiply
    258,112.80x = 387,169.20 × 204,968.70
  4. Step 4: Simplify right side
    258,112.80x = 79,357,567,604.04
  5. Step 5: Solve for x
    x = 79,357,567,604.04/258,112.80
  6. Step 6: Final answer
    x = 307,453.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.