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Finding the Fourth Proportional to 256,912.33, 384,869.99 and 189,321.74

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Solution

The fourth proportional to 256,912.33, 384,869.99 and 189,321.74 is: 283,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,912.33 : 384,869.99 = 189,321.74 : x
  2. Step 2: Convert to fraction form
    256,912.33/384,869.99 = 189,321.74/x
  3. Step 3: Cross multiply
    256,912.33x = 384,869.99 × 189,321.74
  4. Step 4: Simplify right side
    256,912.33x = 72,864,256,180.58
  5. Step 5: Solve for x
    x = 72,864,256,180.58/256,912.33
  6. Step 6: Final answer
    x = 283,615.26

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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.