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Finding the Fourth Proportional to 395,108, 545,249 and 213,819.92

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Solution

The fourth proportional to 395,108, 545,249 and 213,819.92 is: 295,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,108 : 545,249 = 213,819.92 : x
  2. Step 2: Convert to fraction form
    395,108/545,249 = 213,819.92/x
  3. Step 3: Cross multiply
    395,108x = 545,249 × 213,819.92
  4. Step 4: Simplify right side
    395,108x = 116,585,097,560.08
  5. Step 5: Solve for x
    x = 116,585,097,560.08/395,108
  6. Step 6: Final answer
    x = 295,071.47

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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.