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Finding the Fourth Proportional to 322,811.82, 484,213.80 and 145,193.40

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Solution

The fourth proportional to 322,811.82, 484,213.80 and 145,193.40 is: 217,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,811.82 : 484,213.80 = 145,193.40 : x
  2. Step 2: Convert to fraction form
    322,811.82/484,213.80 = 145,193.40/x
  3. Step 3: Cross multiply
    322,811.82x = 484,213.80 × 145,193.40
  4. Step 4: Simplify right side
    322,811.82x = 70,304,647,948.92
  5. Step 5: Solve for x
    x = 70,304,647,948.92/322,811.82
  6. Step 6: Final answer
    x = 217,788.33

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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.