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Finding the Fourth Proportional to 415,396.44, 622,460.34 and 215,781.48

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Solution

The fourth proportional to 415,396.44, 622,460.34 and 215,781.48 is: 323,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,396.44 : 622,460.34 = 215,781.48 : x
  2. Step 2: Convert to fraction form
    415,396.44/622,460.34 = 215,781.48/x
  3. Step 3: Cross multiply
    415,396.44x = 622,460.34 × 215,781.48
  4. Step 4: Simplify right side
    415,396.44x = 134,315,413,406.50
  5. Step 5: Solve for x
    x = 134,315,413,406.50/415,396.44
  6. Step 6: Final answer
    x = 323,342.72

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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.