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Finding the Fourth Proportional to 256,490.40, 384,757.48 and 66,975.96

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Solution

The fourth proportional to 256,490.40, 384,757.48 and 66,975.96 is: 100,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,490.40 : 384,757.48 = 66,975.96 : x
  2. Step 2: Convert to fraction form
    256,490.40/384,757.48 = 66,975.96/x
  3. Step 3: Cross multiply
    256,490.40x = 384,757.48 × 66,975.96
  4. Step 4: Simplify right side
    256,490.40x = 25,769,501,590.18
  5. Step 5: Solve for x
    x = 25,769,501,590.18/256,490.40
  6. Step 6: Final answer
    x = 100,469.65

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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.