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Finding the Fourth Proportional to 395,107.50, 545,248.32 and 213,819.43

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Solution

The fourth proportional to 395,107.50, 545,248.32 and 213,819.43 is: 295,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,107.50 : 545,248.32 = 213,819.43 : x
  2. Step 2: Convert to fraction form
    395,107.50/545,248.32 = 213,819.43/x
  3. Step 3: Cross multiply
    395,107.50x = 545,248.32 × 213,819.43
  4. Step 4: Simplify right side
    395,107.50x = 116,584,684,990.86
  5. Step 5: Solve for x
    x = 116,584,684,990.86/395,107.50
  6. Step 6: Final answer
    x = 295,070.80

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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.