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Finding the Fourth Proportional to 665,177, 997,774.14 and 221,945

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Solution

The fourth proportional to 665,177, 997,774.14 and 221,945 is: 332,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,177 : 997,774.14 = 221,945 : x
  2. Step 2: Convert to fraction form
    665,177/997,774.14 = 221,945/x
  3. Step 3: Cross multiply
    665,177x = 997,774.14 × 221,945
  4. Step 4: Simplify right side
    665,177x = 221,450,981,502.30
  5. Step 5: Solve for x
    x = 221,450,981,502.30/665,177
  6. Step 6: Final answer
    x = 332,920.38

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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.