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Finding the Fourth Proportional to 256,334.22, 384,489.72 and 87,869.52

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Solution

The fourth proportional to 256,334.22, 384,489.72 and 87,869.52 is: 131,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,334.22 : 384,489.72 = 87,869.52 : x
  2. Step 2: Convert to fraction form
    256,334.22/384,489.72 = 87,869.52/x
  3. Step 3: Cross multiply
    256,334.22x = 384,489.72 × 87,869.52
  4. Step 4: Simplify right side
    256,334.22x = 33,784,927,141.33
  5. Step 5: Solve for x
    x = 33,784,927,141.33/256,334.22
  6. Step 6: Final answer
    x = 131,800.30

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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.