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Finding the Fourth Proportional to 511,213.68, 704,921.13 and 347,976

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Solution

The fourth proportional to 511,213.68, 704,921.13 and 347,976 is: 479,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,213.68 : 704,921.13 = 347,976 : x
  2. Step 2: Convert to fraction form
    511,213.68/704,921.13 = 347,976/x
  3. Step 3: Cross multiply
    511,213.68x = 704,921.13 × 347,976
  4. Step 4: Simplify right side
    511,213.68x = 245,295,635,132.88
  5. Step 5: Solve for x
    x = 245,295,635,132.88/511,213.68
  6. Step 6: Final answer
    x = 479,829.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.