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Finding the Fourth Proportional to 286,585.63, 395,456.74 and 165,708.61

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Solution

The fourth proportional to 286,585.63, 395,456.74 and 165,708.61 is: 228,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,585.63 : 395,456.74 = 165,708.61 : x
  2. Step 2: Convert to fraction form
    286,585.63/395,456.74 = 165,708.61/x
  3. Step 3: Cross multiply
    286,585.63x = 395,456.74 × 165,708.61
  4. Step 4: Simplify right side
    286,585.63x = 65,530,585,297.62
  5. Step 5: Solve for x
    x = 65,530,585,297.62/286,585.63
  6. Step 6: Final answer
    x = 228,659.71

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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.