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Finding the Fourth Proportional to 408,999.87, 613,582.74 and 172,342.44

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Solution

The fourth proportional to 408,999.87, 613,582.74 and 172,342.44 is: 258,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,999.87 : 613,582.74 = 172,342.44 : x
  2. Step 2: Convert to fraction form
    408,999.87/613,582.74 = 172,342.44/x
  3. Step 3: Cross multiply
    408,999.87x = 613,582.74 × 172,342.44
  4. Step 4: Simplify right side
    408,999.87x = 105,746,346,553.49
  5. Step 5: Solve for x
    x = 105,746,346,553.49/408,999.87
  6. Step 6: Final answer
    x = 258,548.61

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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.