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Finding the Fourth Proportional to 409,684, 565,363.92 and 221,268

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Solution

The fourth proportional to 409,684, 565,363.92 and 221,268 is: 305,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,684 : 565,363.92 = 221,268 : x
  2. Step 2: Convert to fraction form
    409,684/565,363.92 = 221,268/x
  3. Step 3: Cross multiply
    409,684x = 565,363.92 × 221,268
  4. Step 4: Simplify right side
    409,684x = 125,096,943,850.56
  5. Step 5: Solve for x
    x = 125,096,943,850.56/409,684
  6. Step 6: Final answer
    x = 305,349.84

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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.