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Finding the Fourth Proportional to 315,874.76, 435,906.14 and 172,634.78

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Solution

The fourth proportional to 315,874.76, 435,906.14 and 172,634.78 is: 238,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,874.76 : 435,906.14 = 172,634.78 : x
  2. Step 2: Convert to fraction form
    315,874.76/435,906.14 = 172,634.78/x
  3. Step 3: Cross multiply
    315,874.76x = 435,906.14 × 172,634.78
  4. Step 4: Simplify right side
    315,874.76x = 75,252,560,579.55
  5. Step 5: Solve for x
    x = 75,252,560,579.55/315,874.76
  6. Step 6: Final answer
    x = 238,235.43

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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.