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Finding the Fourth Proportional to 318,634.60, 477,951.90 and 274,311.40

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Solution

The fourth proportional to 318,634.60, 477,951.90 and 274,311.40 is: 411,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,634.60 : 477,951.90 = 274,311.40 : x
  2. Step 2: Convert to fraction form
    318,634.60/477,951.90 = 274,311.40/x
  3. Step 3: Cross multiply
    318,634.60x = 477,951.90 × 274,311.40
  4. Step 4: Simplify right side
    318,634.60x = 131,107,654,821.66
  5. Step 5: Solve for x
    x = 131,107,654,821.66/318,634.60
  6. Step 6: Final answer
    x = 411,467.10

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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.