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Finding the Fourth Proportional to 511,619.80, 766,992.06 and 196,303

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Solution

The fourth proportional to 511,619.80, 766,992.06 and 196,303 is: 294,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,619.80 : 766,992.06 = 196,303 : x
  2. Step 2: Convert to fraction form
    511,619.80/766,992.06 = 196,303/x
  3. Step 3: Cross multiply
    511,619.80x = 766,992.06 × 196,303
  4. Step 4: Simplify right side
    511,619.80x = 150,562,842,354.18
  5. Step 5: Solve for x
    x = 150,562,842,354.18/511,619.80
  6. Step 6: Final answer
    x = 294,286.58

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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.