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Finding the Fourth Proportional to 415,078.92, 622,618.56 and 320,447.31

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Solution

The fourth proportional to 415,078.92, 622,618.56 and 320,447.31 is: 480,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,078.92 : 622,618.56 = 320,447.31 : x
  2. Step 2: Convert to fraction form
    415,078.92/622,618.56 = 320,447.31/x
  3. Step 3: Cross multiply
    415,078.92x = 622,618.56 × 320,447.31
  4. Step 4: Simplify right side
    415,078.92x = 199,516,442,708.07
  5. Step 5: Solve for x
    x = 199,516,442,708.07/415,078.92
  6. Step 6: Final answer
    x = 480,671.10

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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.