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Finding the Fourth Proportional to 283,577.57, 391,074.02 and 206,975.31

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Solution

The fourth proportional to 283,577.57, 391,074.02 and 206,975.31 is: 285,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,577.57 : 391,074.02 = 206,975.31 : x
  2. Step 2: Convert to fraction form
    283,577.57/391,074.02 = 206,975.31/x
  3. Step 3: Cross multiply
    283,577.57x = 391,074.02 × 206,975.31
  4. Step 4: Simplify right side
    283,577.57x = 80,942,666,996.99
  5. Step 5: Solve for x
    x = 80,942,666,996.99/283,577.57
  6. Step 6: Final answer
    x = 285,433.95

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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.