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Finding the Fourth Proportional to 395,266.25, 545,462.91 and 213,974.21

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Solution

The fourth proportional to 395,266.25, 545,462.91 and 213,974.21 is: 295,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,266.25 : 545,462.91 = 213,974.21 : x
  2. Step 2: Convert to fraction form
    395,266.25/545,462.91 = 213,974.21/x
  3. Step 3: Cross multiply
    395,266.25x = 545,462.91 × 213,974.21
  4. Step 4: Simplify right side
    395,266.25x = 116,714,995,251.55
  5. Step 5: Solve for x
    x = 116,714,995,251.55/395,266.25
  6. Step 6: Final answer
    x = 295,281.97

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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.