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Finding the Fourth Proportional to 395,143.82, 545,299.13 and 213,855.94

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Solution

The fourth proportional to 395,143.82, 545,299.13 and 213,855.94 is: 295,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,143.82 : 545,299.13 = 213,855.94 : x
  2. Step 2: Convert to fraction form
    395,143.82/545,299.13 = 213,855.94/x
  3. Step 3: Cross multiply
    395,143.82x = 545,299.13 × 213,855.94
  4. Step 4: Simplify right side
    395,143.82x = 116,615,458,027.33
  5. Step 5: Solve for x
    x = 116,615,458,027.33/395,143.82
  6. Step 6: Final answer
    x = 295,121.55

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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.