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Finding the Fourth Proportional to 315,128.68, 434,878.92 and 171,891.80

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Solution

The fourth proportional to 315,128.68, 434,878.92 and 171,891.80 is: 237,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,128.68 : 434,878.92 = 171,891.80 : x
  2. Step 2: Convert to fraction form
    315,128.68/434,878.92 = 171,891.80/x
  3. Step 3: Cross multiply
    315,128.68x = 434,878.92 × 171,891.80
  4. Step 4: Simplify right side
    315,128.68x = 74,752,120,340.86
  5. Step 5: Solve for x
    x = 74,752,120,340.86/315,128.68
  6. Step 6: Final answer
    x = 237,211.42

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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.