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Finding the Fourth Proportional to 511,606.80, 766,972.62 and 196,290

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Solution

The fourth proportional to 511,606.80, 766,972.62 and 196,290 is: 294,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,606.80 : 766,972.62 = 196,290 : x
  2. Step 2: Convert to fraction form
    511,606.80/766,972.62 = 196,290/x
  3. Step 3: Cross multiply
    511,606.80x = 766,972.62 × 196,290
  4. Step 4: Simplify right side
    511,606.80x = 150,549,055,579.80
  5. Step 5: Solve for x
    x = 150,549,055,579.80/511,606.80
  6. Step 6: Final answer
    x = 294,267.11

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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.