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Finding the Fourth Proportional to 395,107.29, 545,249.41 and 213,819.17

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Solution

The fourth proportional to 395,107.29, 545,249.41 and 213,819.17 is: 295,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,107.29 : 545,249.41 = 213,819.17 : x
  2. Step 2: Convert to fraction form
    395,107.29/545,249.41 = 213,819.17/x
  3. Step 3: Cross multiply
    395,107.29x = 545,249.41 × 213,819.17
  4. Step 4: Simplify right side
    395,107.29x = 116,584,773,028.40
  5. Step 5: Solve for x
    x = 116,584,773,028.40/395,107.29
  6. Step 6: Final answer
    x = 295,071.18

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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.