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Finding the Fourth Proportional to 298,584.63, 412,441.15 and 221,217.46

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Solution

The fourth proportional to 298,584.63, 412,441.15 and 221,217.46 is: 305,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,584.63 : 412,441.15 = 221,217.46 : x
  2. Step 2: Convert to fraction form
    298,584.63/412,441.15 = 221,217.46/x
  3. Step 3: Cross multiply
    298,584.63x = 412,441.15 × 221,217.46
  4. Step 4: Simplify right side
    298,584.63x = 91,239,182,847.90
  5. Step 5: Solve for x
    x = 91,239,182,847.90/298,584.63
  6. Step 6: Final answer
    x = 305,572.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.