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Finding the Fourth Proportional to 415,079.92, 622,620.06 and 320,448.30

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Solution

The fourth proportional to 415,079.92, 622,620.06 and 320,448.30 is: 480,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,079.92 : 622,620.06 = 320,448.30 : x
  2. Step 2: Convert to fraction form
    415,079.92/622,620.06 = 320,448.30/x
  3. Step 3: Cross multiply
    415,079.92x = 622,620.06 × 320,448.30
  4. Step 4: Simplify right side
    415,079.92x = 199,517,539,772.90
  5. Step 5: Solve for x
    x = 199,517,539,772.90/415,079.92
  6. Step 6: Final answer
    x = 480,672.59

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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.