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Finding the Fourth Proportional to 256,578.60, 384,880.84 and 79,206.96

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Solution

The fourth proportional to 256,578.60, 384,880.84 and 79,206.96 is: 118,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,578.60 : 384,880.84 = 79,206.96 : x
  2. Step 2: Convert to fraction form
    256,578.60/384,880.84 = 79,206.96/x
  3. Step 3: Cross multiply
    256,578.60x = 384,880.84 × 79,206.96
  4. Step 4: Simplify right side
    256,578.60x = 30,485,241,298.65
  5. Step 5: Solve for x
    x = 30,485,241,298.65/256,578.60
  6. Step 6: Final answer
    x = 118,814.43

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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.