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Finding the Fourth Proportional to 256,395.54, 384,629.76 and 78,917.34

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Solution

The fourth proportional to 256,395.54, 384,629.76 and 78,917.34 is: 118,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.54 : 384,629.76 = 78,917.34 : x
  2. Step 2: Convert to fraction form
    256,395.54/384,629.76 = 78,917.34/x
  3. Step 3: Cross multiply
    256,395.54x = 384,629.76 × 78,917.34
  4. Step 4: Simplify right side
    256,395.54x = 30,353,957,544.04
  5. Step 5: Solve for x
    x = 30,353,957,544.04/256,395.54
  6. Step 6: Final answer
    x = 118,387.23

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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.