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Finding the Fourth Proportional to 565,305.62, 780,081.21 and 323,584.65

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Solution

The fourth proportional to 565,305.62, 780,081.21 and 323,584.65 is: 446,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,305.62 : 780,081.21 = 323,584.65 : x
  2. Step 2: Convert to fraction form
    565,305.62/780,081.21 = 323,584.65/x
  3. Step 3: Cross multiply
    565,305.62x = 780,081.21 × 323,584.65
  4. Step 4: Simplify right side
    565,305.62x = 252,422,305,309.43
  5. Step 5: Solve for x
    x = 252,422,305,309.43/565,305.62
  6. Step 6: Final answer
    x = 446,523.61

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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.