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Finding the Fourth Proportional to 351,978.14, 485,739.40 and 199,039.21

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Solution

The fourth proportional to 351,978.14, 485,739.40 and 199,039.21 is: 274,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,978.14 : 485,739.40 = 199,039.21 : x
  2. Step 2: Convert to fraction form
    351,978.14/485,739.40 = 199,039.21/x
  3. Step 3: Cross multiply
    351,978.14x = 485,739.40 × 199,039.21
  4. Step 4: Simplify right side
    351,978.14x = 96,681,185,103.13
  5. Step 5: Solve for x
    x = 96,681,185,103.13/351,978.14
  6. Step 6: Final answer
    x = 274,679.51

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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.