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Finding the Fourth Proportional to 257,227.76, 355,097.52 and 171,329.68

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Solution

The fourth proportional to 257,227.76, 355,097.52 and 171,329.68 is: 236,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,227.76 : 355,097.52 = 171,329.68 : x
  2. Step 2: Convert to fraction form
    257,227.76/355,097.52 = 171,329.68/x
  3. Step 3: Cross multiply
    257,227.76x = 355,097.52 × 171,329.68
  4. Step 4: Simplify right side
    257,227.76x = 60,838,744,470.39
  5. Step 5: Solve for x
    x = 60,838,744,470.39/257,227.76
  6. Step 6: Final answer
    x = 236,517.02

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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.