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Finding the Fourth Proportional to 395,109.50, 545,251.06 and 213,821.43

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Solution

The fourth proportional to 395,109.50, 545,251.06 and 213,821.43 is: 295,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,109.50 : 545,251.06 = 213,821.43 : x
  2. Step 2: Convert to fraction form
    395,109.50/545,251.06 = 213,821.43/x
  3. Step 3: Cross multiply
    395,109.50x = 545,251.06 × 213,821.43
  4. Step 4: Simplify right side
    395,109.50x = 116,586,361,358.22
  5. Step 5: Solve for x
    x = 116,586,361,358.22/395,109.50
  6. Step 6: Final answer
    x = 295,073.55

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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.