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Finding the Fourth Proportional to 366,064.64, 505,169.40 and 204,920

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Solution

The fourth proportional to 366,064.64, 505,169.40 and 204,920 is: 282,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,064.64 : 505,169.40 = 204,920 : x
  2. Step 2: Convert to fraction form
    366,064.64/505,169.40 = 204,920/x
  3. Step 3: Cross multiply
    366,064.64x = 505,169.40 × 204,920
  4. Step 4: Simplify right side
    366,064.64x = 103,519,313,448
  5. Step 5: Solve for x
    x = 103,519,313,448/366,064.64
  6. Step 6: Final answer
    x = 282,789.71

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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.