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Finding the Fourth Proportional to 323,128.61, 445,627.17 and 202,280.90

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Solution

The fourth proportional to 323,128.61, 445,627.17 and 202,280.90 is: 278,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,128.61 : 445,627.17 = 202,280.90 : x
  2. Step 2: Convert to fraction form
    323,128.61/445,627.17 = 202,280.90/x
  3. Step 3: Cross multiply
    323,128.61x = 445,627.17 × 202,280.90
  4. Step 4: Simplify right side
    323,128.61x = 90,141,865,012.05
  5. Step 5: Solve for x
    x = 90,141,865,012.05/323,128.61
  6. Step 6: Final answer
    x = 278,965.90

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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.