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Finding the Fourth Proportional to 323,871.53, 447,150.71 and 203,178.29

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Solution

The fourth proportional to 323,871.53, 447,150.71 and 203,178.29 is: 280,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,871.53 : 447,150.71 = 203,178.29 : x
  2. Step 2: Convert to fraction form
    323,871.53/447,150.71 = 203,178.29/x
  3. Step 3: Cross multiply
    323,871.53x = 447,150.71 × 203,178.29
  4. Step 4: Simplify right side
    323,871.53x = 90,851,314,902.28
  5. Step 5: Solve for x
    x = 90,851,314,902.28/323,871.53
  6. Step 6: Final answer
    x = 280,516.53

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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.