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Finding the Fourth Proportional to 322,706.43, 445,025.75 and 213,638.04

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Solution

The fourth proportional to 322,706.43, 445,025.75 and 213,638.04 is: 294,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,706.43 : 445,025.75 = 213,638.04 : x
  2. Step 2: Convert to fraction form
    322,706.43/445,025.75 = 213,638.04/x
  3. Step 3: Cross multiply
    322,706.43x = 445,025.75 × 213,638.04
  4. Step 4: Simplify right side
    322,706.43x = 95,074,427,911.34
  5. Step 5: Solve for x
    x = 95,074,427,911.34/322,706.43
  6. Step 6: Final answer
    x = 294,615.85

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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.