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Finding the Fourth Proportional to 218,479.65, 327,640.15 and 76,285

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Solution

The fourth proportional to 218,479.65, 327,640.15 and 76,285 is: 114,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,479.65 : 327,640.15 = 76,285 : x
  2. Step 2: Convert to fraction form
    218,479.65/327,640.15 = 76,285/x
  3. Step 3: Cross multiply
    218,479.65x = 327,640.15 × 76,285
  4. Step 4: Simplify right side
    218,479.65x = 24,994,028,842.75
  5. Step 5: Solve for x
    x = 24,994,028,842.75/218,479.65
  6. Step 6: Final answer
    x = 114,399.80

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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.