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Finding the Fourth Proportional to 256,067.40, 384,101.10 and 177,270.60

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Solution

The fourth proportional to 256,067.40, 384,101.10 and 177,270.60 is: 265,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,067.40 : 384,101.10 = 177,270.60 : x
  2. Step 2: Convert to fraction form
    256,067.40/384,101.10 = 177,270.60/x
  3. Step 3: Cross multiply
    256,067.40x = 384,101.10 × 177,270.60
  4. Step 4: Simplify right side
    256,067.40x = 68,089,832,457.66
  5. Step 5: Solve for x
    x = 68,089,832,457.66/256,067.40
  6. Step 6: Final answer
    x = 265,905.90

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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.