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Finding the Fourth Proportional to 395,122.67, 545,270.67 and 213,834.55

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Solution

The fourth proportional to 395,122.67, 545,270.67 and 213,834.55 is: 295,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,122.67 : 545,270.67 = 213,834.55 : x
  2. Step 2: Convert to fraction form
    395,122.67/545,270.67 = 213,834.55/x
  3. Step 3: Cross multiply
    395,122.67x = 545,270.67 × 213,834.55
  4. Step 4: Simplify right side
    395,122.67x = 116,597,706,423.18
  5. Step 5: Solve for x
    x = 116,597,706,423.18/395,122.67
  6. Step 6: Final answer
    x = 295,092.42

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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.