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Finding the Fourth Proportional to 415,071.82, 622,607.88 and 320,440.16

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Solution

The fourth proportional to 415,071.82, 622,607.88 and 320,440.16 is: 480,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,071.82 : 622,607.88 = 320,440.16 : x
  2. Step 2: Convert to fraction form
    415,071.82/622,607.88 = 320,440.16/x
  3. Step 3: Cross multiply
    415,071.82x = 622,607.88 × 320,440.16
  4. Step 4: Simplify right side
    415,071.82x = 199,508,568,684.46
  5. Step 5: Solve for x
    x = 199,508,568,684.46/415,071.82
  6. Step 6: Final answer
    x = 480,660.36

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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.