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Finding the Fourth Proportional to 415,078.44, 622,617.81 and 320,446.81

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Solution

The fourth proportional to 415,078.44, 622,617.81 and 320,446.81 is: 480,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,078.44 : 622,617.81 = 320,446.81 : x
  2. Step 2: Convert to fraction form
    415,078.44/622,617.81 = 320,446.81/x
  3. Step 3: Cross multiply
    415,078.44x = 622,617.81 × 320,446.81
  4. Step 4: Simplify right side
    415,078.44x = 199,515,891,063.69
  5. Step 5: Solve for x
    x = 199,515,891,063.69/415,078.44
  6. Step 6: Final answer
    x = 480,670.33

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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.