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Finding the Fourth Proportional to 379,650.78, 569,757.74 and 179,971.56

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Solution

The fourth proportional to 379,650.78, 569,757.74 and 179,971.56 is: 270,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,650.78 : 569,757.74 = 179,971.56 : x
  2. Step 2: Convert to fraction form
    379,650.78/569,757.74 = 179,971.56/x
  3. Step 3: Cross multiply
    379,650.78x = 569,757.74 × 179,971.56
  4. Step 4: Simplify right side
    379,650.78x = 102,540,188,390.02
  5. Step 5: Solve for x
    x = 102,540,188,390.02/379,650.78
  6. Step 6: Final answer
    x = 270,090.81

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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.