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Finding the Fourth Proportional to 256,796.97, 384,879.96 and 144,240.57

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Solution

The fourth proportional to 256,796.97, 384,879.96 and 144,240.57 is: 216,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,796.97 : 384,879.96 = 144,240.57 : x
  2. Step 2: Convert to fraction form
    256,796.97/384,879.96 = 144,240.57/x
  3. Step 3: Cross multiply
    256,796.97x = 384,879.96 × 144,240.57
  4. Step 4: Simplify right side
    256,796.97x = 55,515,304,811.98
  5. Step 5: Solve for x
    x = 55,515,304,811.98/256,796.97
  6. Step 6: Final answer
    x = 216,183.64

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1.5x scale

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.