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Finding the Fourth Proportional to 395,859.21, 546,286.88 and 214,571.86

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Solution

The fourth proportional to 395,859.21, 546,286.88 and 214,571.86 is: 296,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,859.21 : 546,286.88 = 214,571.86 : x
  2. Step 2: Convert to fraction form
    395,859.21/546,286.88 = 214,571.86/x
  3. Step 3: Cross multiply
    395,859.21x = 546,286.88 × 214,571.86
  4. Step 4: Simplify right side
    395,859.21x = 117,217,789,496.62
  5. Step 5: Solve for x
    x = 117,217,789,496.62/395,859.21
  6. Step 6: Final answer
    x = 296,109.79

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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.