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Finding the Fourth Proportional to 665,181, 997,780.14 and 221,949

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Solution

The fourth proportional to 665,181, 997,780.14 and 221,949 is: 332,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,181 : 997,780.14 = 221,949 : x
  2. Step 2: Convert to fraction form
    665,181/997,780.14 = 221,949/x
  3. Step 3: Cross multiply
    665,181x = 997,780.14 × 221,949
  4. Step 4: Simplify right side
    665,181x = 221,456,304,292.86
  5. Step 5: Solve for x
    x = 221,456,304,292.86/665,181
  6. Step 6: Final answer
    x = 332,926.38

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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.