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Finding the Fourth Proportional to 415,077.44, 622,616.31 and 320,445.81

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Solution

The fourth proportional to 415,077.44, 622,616.31 and 320,445.81 is: 480,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,077.44 : 622,616.31 = 320,445.81 : x
  2. Step 2: Convert to fraction form
    415,077.44/622,616.31 = 320,445.81/x
  3. Step 3: Cross multiply
    415,077.44x = 622,616.31 × 320,445.81
  4. Step 4: Simplify right side
    415,077.44x = 199,514,787,777.16
  5. Step 5: Solve for x
    x = 199,514,787,777.16/415,077.44
  6. Step 6: Final answer
    x = 480,668.84

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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.