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Finding the Fourth Proportional to 256,532.75, 384,861.40 and 79,039.75

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Solution

The fourth proportional to 256,532.75, 384,861.40 and 79,039.75 is: 118,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,532.75 : 384,861.40 = 79,039.75 : x
  2. Step 2: Convert to fraction form
    256,532.75/384,861.40 = 79,039.75/x
  3. Step 3: Cross multiply
    256,532.75x = 384,861.40 × 79,039.75
  4. Step 4: Simplify right side
    256,532.75x = 30,419,348,840.65
  5. Step 5: Solve for x
    x = 30,419,348,840.65/256,532.75
  6. Step 6: Final answer
    x = 118,578.81

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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.