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Finding the Fourth Proportional to 323,930.46, 447,020.96 and 178,737.54

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Solution

The fourth proportional to 323,930.46, 447,020.96 and 178,737.54 is: 246,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,930.46 : 447,020.96 = 178,737.54 : x
  2. Step 2: Convert to fraction form
    323,930.46/447,020.96 = 178,737.54/x
  3. Step 3: Cross multiply
    323,930.46x = 447,020.96 × 178,737.54
  4. Step 4: Simplify right side
    323,930.46x = 79,899,426,718.84
  5. Step 5: Solve for x
    x = 79,899,426,718.84/323,930.46
  6. Step 6: Final answer
    x = 246,656.11

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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.