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Finding the Fourth Proportional to 318,486.57, 477,729.89 and 81,829.26

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Solution

The fourth proportional to 318,486.57, 477,729.89 and 81,829.26 is: 122,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,486.57 : 477,729.89 = 81,829.26 : x
  2. Step 2: Convert to fraction form
    318,486.57/477,729.89 = 81,829.26/x
  3. Step 3: Cross multiply
    318,486.57x = 477,729.89 × 81,829.26
  4. Step 4: Simplify right side
    318,486.57x = 39,092,282,969.44
  5. Step 5: Solve for x
    x = 39,092,282,969.44/318,486.57
  6. Step 6: Final answer
    x = 122,743.90

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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.