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Finding the Fourth Proportional to 204,906.60, 307,359.90 and 172,429.65

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Solution

The fourth proportional to 204,906.60, 307,359.90 and 172,429.65 is: 258,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.60 : 307,359.90 = 172,429.65 : x
  2. Step 2: Convert to fraction form
    204,906.60/307,359.90 = 172,429.65/x
  3. Step 3: Cross multiply
    204,906.60x = 307,359.90 × 172,429.65
  4. Step 4: Simplify right side
    204,906.60x = 52,997,959,981.04
  5. Step 5: Solve for x
    x = 52,997,959,981.04/204,906.60
  6. Step 6: Final answer
    x = 258,644.48

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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.