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Finding the Fourth Proportional to 324,814.35, 487,305.59 and 100,169.82

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Solution

The fourth proportional to 324,814.35, 487,305.59 and 100,169.82 is: 150,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,814.35 : 487,305.59 = 100,169.82 : x
  2. Step 2: Convert to fraction form
    324,814.35/487,305.59 = 100,169.82/x
  3. Step 3: Cross multiply
    324,814.35x = 487,305.59 × 100,169.82
  4. Step 4: Simplify right side
    324,814.35x = 48,813,313,235.29
  5. Step 5: Solve for x
    x = 48,813,313,235.29/324,814.35
  6. Step 6: Final answer
    x = 150,280.65

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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.