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Finding the Fourth Proportional to 256,305.44, 384,512.16 and 96,382.40

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Solution

The fourth proportional to 256,305.44, 384,512.16 and 96,382.40 is: 144,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,305.44 : 384,512.16 = 96,382.40 : x
  2. Step 2: Convert to fraction form
    256,305.44/384,512.16 = 96,382.40/x
  3. Step 3: Cross multiply
    256,305.44x = 384,512.16 × 96,382.40
  4. Step 4: Simplify right side
    256,305.44x = 37,060,204,809.98
  5. Step 5: Solve for x
    x = 37,060,204,809.98/256,305.44
  6. Step 6: Final answer
    x = 144,593.91

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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.