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Finding the Fourth Proportional to 323,710.20, 485,046.90 and 205,169.40

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Solution

The fourth proportional to 323,710.20, 485,046.90 and 205,169.40 is: 307,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,710.20 : 485,046.90 = 205,169.40 : x
  2. Step 2: Convert to fraction form
    323,710.20/485,046.90 = 205,169.40/x
  3. Step 3: Cross multiply
    323,710.20x = 485,046.90 × 205,169.40
  4. Step 4: Simplify right side
    323,710.20x = 99,516,781,444.86
  5. Step 5: Solve for x
    x = 99,516,781,444.86/323,710.20
  6. Step 6: Final answer
    x = 307,425.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.