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Finding the Fourth Proportional to 415,102.40, 622,647.20 and 281,650.88

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Solution

The fourth proportional to 415,102.40, 622,647.20 and 281,650.88 is: 422,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,102.40 : 622,647.20 = 281,650.88 : x
  2. Step 2: Convert to fraction form
    415,102.40/622,647.20 = 281,650.88/x
  3. Step 3: Cross multiply
    415,102.40x = 622,647.20 × 281,650.88
  4. Step 4: Simplify right side
    415,102.40x = 175,369,131,809.54
  5. Step 5: Solve for x
    x = 175,369,131,809.54/415,102.40
  6. Step 6: Final answer
    x = 422,471.98

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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.