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Finding the Fourth Proportional to 256,016.92, 384,011 and 78,523.44

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Solution

The fourth proportional to 256,016.92, 384,011 and 78,523.44 is: 117,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,016.92 : 384,011 = 78,523.44 : x
  2. Step 2: Convert to fraction form
    256,016.92/384,011 = 78,523.44/x
  3. Step 3: Cross multiply
    256,016.92x = 384,011 × 78,523.44
  4. Step 4: Simplify right side
    256,016.92x = 30,153,864,717.84
  5. Step 5: Solve for x
    x = 30,153,864,717.84/256,016.92
  6. Step 6: Final answer
    x = 117,780.75

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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.