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Finding the Fourth Proportional to 283,299.75, 391,304.73 and 205,651.47

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Solution

The fourth proportional to 283,299.75, 391,304.73 and 205,651.47 is: 284,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,299.75 : 391,304.73 = 205,651.47 : x
  2. Step 2: Convert to fraction form
    283,299.75/391,304.73 = 205,651.47/x
  3. Step 3: Cross multiply
    283,299.75x = 391,304.73 × 205,651.47
  4. Step 4: Simplify right side
    283,299.75x = 80,472,392,942.45
  5. Step 5: Solve for x
    x = 80,472,392,942.45/283,299.75
  6. Step 6: Final answer
    x = 284,053.88

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1.5x scale

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.