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Finding the Fourth Proportional to 665,180, 997,778.64 and 221,948

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Solution

The fourth proportional to 665,180, 997,778.64 and 221,948 is: 332,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,180 : 997,778.64 = 221,948 : x
  2. Step 2: Convert to fraction form
    665,180/997,778.64 = 221,948/x
  3. Step 3: Cross multiply
    665,180x = 997,778.64 × 221,948
  4. Step 4: Simplify right side
    665,180x = 221,454,973,590.72
  5. Step 5: Solve for x
    x = 221,454,973,590.72/665,180
  6. Step 6: Final answer
    x = 332,924.88

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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.