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Finding the Fourth Proportional to 310,777.66, 428,717.91 and 196,198.30

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Solution

The fourth proportional to 310,777.66, 428,717.91 and 196,198.30 is: 270,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,777.66 : 428,717.91 = 196,198.30 : x
  2. Step 2: Convert to fraction form
    310,777.66/428,717.91 = 196,198.30/x
  3. Step 3: Cross multiply
    310,777.66x = 428,717.91 × 196,198.30
  4. Step 4: Simplify right side
    310,777.66x = 84,113,725,121.55
  5. Step 5: Solve for x
    x = 84,113,725,121.55/310,777.66
  6. Step 6: Final answer
    x = 270,655.64

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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.