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Finding the Fourth Proportional to 415,115.82, 622,728 and 148,906.08

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Solution

The fourth proportional to 415,115.82, 622,728 and 148,906.08 is: 223,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,115.82 : 622,728 = 148,906.08 : x
  2. Step 2: Convert to fraction form
    415,115.82/622,728 = 148,906.08/x
  3. Step 3: Cross multiply
    415,115.82x = 622,728 × 148,906.08
  4. Step 4: Simplify right side
    415,115.82x = 92,727,985,386.24
  5. Step 5: Solve for x
    x = 92,727,985,386.24/415,115.82
  6. Step 6: Final answer
    x = 223,378.59

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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.