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Finding the Fourth Proportional to 511,634.80, 767,014.56 and 196,318

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Solution

The fourth proportional to 511,634.80, 767,014.56 and 196,318 is: 294,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,634.80 : 767,014.56 = 196,318 : x
  2. Step 2: Convert to fraction form
    511,634.80/767,014.56 = 196,318/x
  3. Step 3: Cross multiply
    511,634.80x = 767,014.56 × 196,318
  4. Step 4: Simplify right side
    511,634.80x = 150,578,764,390.08
  5. Step 5: Solve for x
    x = 150,578,764,390.08/511,634.80
  6. Step 6: Final answer
    x = 294,309.07

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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.