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Finding the Fourth Proportional to 318,255.78, 477,348 and 81,604.02

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Solution

The fourth proportional to 318,255.78, 477,348 and 81,604.02 is: 122,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,255.78 : 477,348 = 81,604.02 : x
  2. Step 2: Convert to fraction form
    318,255.78/477,348 = 81,604.02/x
  3. Step 3: Cross multiply
    318,255.78x = 477,348 × 81,604.02
  4. Step 4: Simplify right side
    318,255.78x = 38,953,515,738.96
  5. Step 5: Solve for x
    x = 38,953,515,738.96/318,255.78
  6. Step 6: Final answer
    x = 122,396.88

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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.