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Finding the Fourth Proportional to 256,273.20, 384,446.54 and 78,795.11

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Solution

The fourth proportional to 256,273.20, 384,446.54 and 78,795.11 is: 118,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,273.20 : 384,446.54 = 78,795.11 : x
  2. Step 2: Convert to fraction form
    256,273.20/384,446.54 = 78,795.11/x
  3. Step 3: Cross multiply
    256,273.20x = 384,446.54 × 78,795.11
  4. Step 4: Simplify right side
    256,273.20x = 30,292,508,566.52
  5. Step 5: Solve for x
    x = 30,292,508,566.52/256,273.20
  6. Step 6: Final answer
    x = 118,203.97

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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.