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Finding the Fourth Proportional to 256,845.26, 385,270.49 and 114,697.78

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Solution

The fourth proportional to 256,845.26, 385,270.49 and 114,697.78 is: 172,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,845.26 : 385,270.49 = 114,697.78 : x
  2. Step 2: Convert to fraction form
    256,845.26/385,270.49 = 114,697.78/x
  3. Step 3: Cross multiply
    256,845.26x = 385,270.49 × 114,697.78
  4. Step 4: Simplify right side
    256,845.26x = 44,189,669,226.08
  5. Step 5: Solve for x
    x = 44,189,669,226.08/256,845.26
  6. Step 6: Final answer
    x = 172,047.83

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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.