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Finding the Fourth Proportional to 395,142.52, 545,297.38 and 213,854.68

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Solution

The fourth proportional to 395,142.52, 545,297.38 and 213,854.68 is: 295,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,142.52 : 545,297.38 = 213,854.68 : x
  2. Step 2: Convert to fraction form
    395,142.52/545,297.38 = 213,854.68/x
  3. Step 3: Cross multiply
    395,142.52x = 545,297.38 × 213,854.68
  4. Step 4: Simplify right side
    395,142.52x = 116,614,396,704.74
  5. Step 5: Solve for x
    x = 116,614,396,704.74/395,142.52
  6. Step 6: Final answer
    x = 295,119.84

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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.