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Finding the Fourth Proportional to 395,103.62, 545,242.97 and 213,815.55

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Solution

The fourth proportional to 395,103.62, 545,242.97 and 213,815.55 is: 295,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,103.62 : 545,242.97 = 213,815.55 : x
  2. Step 2: Convert to fraction form
    395,103.62/545,242.97 = 213,815.55/x
  3. Step 3: Cross multiply
    395,103.62x = 545,242.97 × 213,815.55
  4. Step 4: Simplify right side
    395,103.62x = 116,581,424,425.04
  5. Step 5: Solve for x
    x = 116,581,424,425.04/395,103.62
  6. Step 6: Final answer
    x = 295,065.44

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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.