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Finding the Fourth Proportional to 256,866.93, 385,255.29 and 79,375.48

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Solution

The fourth proportional to 256,866.93, 385,255.29 and 79,375.48 is: 119,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,866.93 : 385,255.29 = 79,375.48 : x
  2. Step 2: Convert to fraction form
    256,866.93/385,255.29 = 79,375.48/x
  3. Step 3: Cross multiply
    256,866.93x = 385,255.29 × 79,375.48
  4. Step 4: Simplify right side
    256,866.93x = 30,579,824,581.92
  5. Step 5: Solve for x
    x = 30,579,824,581.92/256,866.93
  6. Step 6: Final answer
    x = 119,049.28

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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.