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Finding the Fourth Proportional to 490,638.20, 735,738.60 and 224,261.60

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Solution

The fourth proportional to 490,638.20, 735,738.60 and 224,261.60 is: 336,292.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,638.20 : 735,738.60 = 224,261.60 : x
  2. Step 2: Convert to fraction form
    490,638.20/735,738.60 = 224,261.60/x
  3. Step 3: Cross multiply
    490,638.20x = 735,738.60 × 224,261.60
  4. Step 4: Simplify right side
    490,638.20x = 164,997,915,617.76
  5. Step 5: Solve for x
    x = 164,997,915,617.76/490,638.20
  6. Step 6: Final answer
    x = 336,292.44

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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.