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Finding the Fourth Proportional to 415,071.80, 622,607.87 and 320,440.14

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Solution

The fourth proportional to 415,071.80, 622,607.87 and 320,440.14 is: 480,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,071.80 : 622,607.87 = 320,440.14 : x
  2. Step 2: Convert to fraction form
    415,071.80/622,607.87 = 320,440.14/x
  3. Step 3: Cross multiply
    415,071.80x = 622,607.87 × 320,440.14
  4. Step 4: Simplify right side
    415,071.80x = 199,508,553,027.90
  5. Step 5: Solve for x
    x = 199,508,553,027.90/415,071.80
  6. Step 6: Final answer
    x = 480,660.34

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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.