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Finding the Fourth Proportional to 288,460.17, 395,956.28 and 255,917.61

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Solution

The fourth proportional to 288,460.17, 395,956.28 and 255,917.61 is: 351,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,460.17 : 395,956.28 = 255,917.61 : x
  2. Step 2: Convert to fraction form
    288,460.17/395,956.28 = 255,917.61/x
  3. Step 3: Cross multiply
    288,460.17x = 395,956.28 × 255,917.61
  4. Step 4: Simplify right side
    288,460.17x = 101,332,185,481.89
  5. Step 5: Solve for x
    x = 101,332,185,481.89/288,460.17
  6. Step 6: Final answer
    x = 351,286.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.