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Finding the Fourth Proportional to 319,008.24, 478,620.90 and 200,540.88

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Solution

The fourth proportional to 319,008.24, 478,620.90 and 200,540.88 is: 300,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,008.24 : 478,620.90 = 200,540.88 : x
  2. Step 2: Convert to fraction form
    319,008.24/478,620.90 = 200,540.88/x
  3. Step 3: Cross multiply
    319,008.24x = 478,620.90 × 200,540.88
  4. Step 4: Simplify right side
    319,008.24x = 95,983,056,472.39
  5. Step 5: Solve for x
    x = 95,983,056,472.39/319,008.24
  6. Step 6: Final answer
    x = 300,879.55

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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.