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Finding the Fourth Proportional to 256,069.60, 384,219.60 and 89,976.80

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Solution

The fourth proportional to 256,069.60, 384,219.60 and 89,976.80 is: 135,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,069.60 : 384,219.60 = 89,976.80 : x
  2. Step 2: Convert to fraction form
    256,069.60/384,219.60 = 89,976.80/x
  3. Step 3: Cross multiply
    256,069.60x = 384,219.60 × 89,976.80
  4. Step 4: Simplify right side
    256,069.60x = 34,570,850,105.28
  5. Step 5: Solve for x
    x = 34,570,850,105.28/256,069.60
  6. Step 6: Final answer
    x = 135,005.68

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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.