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Finding the Fourth Proportional to 256,353.67, 384,771.78 and 130,084.52

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Solution

The fourth proportional to 256,353.67, 384,771.78 and 130,084.52 is: 195,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,353.67 : 384,771.78 = 130,084.52 : x
  2. Step 2: Convert to fraction form
    256,353.67/384,771.78 = 130,084.52/x
  3. Step 3: Cross multiply
    256,353.67x = 384,771.78 × 130,084.52
  4. Step 4: Simplify right side
    256,353.67x = 50,052,853,272.78
  5. Step 5: Solve for x
    x = 50,052,853,272.78/256,353.67
  6. Step 6: Final answer
    x = 195,249.22

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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.