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Finding the Fourth Proportional to 490,877.78, 735,354.39 and 254,375.60

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Solution

The fourth proportional to 490,877.78, 735,354.39 and 254,375.60 is: 381,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,877.78 : 735,354.39 = 254,375.60 : x
  2. Step 2: Convert to fraction form
    490,877.78/735,354.39 = 254,375.60/x
  3. Step 3: Cross multiply
    490,877.78x = 735,354.39 × 254,375.60
  4. Step 4: Simplify right side
    490,877.78x = 187,056,214,168.88
  5. Step 5: Solve for x
    x = 187,056,214,168.88/490,877.78
  6. Step 6: Final answer
    x = 381,064.74

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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.