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Finding the Fourth Proportional to 256,120.77, 384,238.26 and 78,645.72

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Solution

The fourth proportional to 256,120.77, 384,238.26 and 78,645.72 is: 117,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,120.77 : 384,238.26 = 78,645.72 : x
  2. Step 2: Convert to fraction form
    256,120.77/384,238.26 = 78,645.72/x
  3. Step 3: Cross multiply
    256,120.77x = 384,238.26 × 78,645.72
  4. Step 4: Simplify right side
    256,120.77x = 30,218,694,609.25
  5. Step 5: Solve for x
    x = 30,218,694,609.25/256,120.77
  6. Step 6: Final answer
    x = 117,986.11

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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.