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Finding the Fourth Proportional to 490,481.52, 735,774.12 and 209,923.44

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Solution

The fourth proportional to 490,481.52, 735,774.12 and 209,923.44 is: 314,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,481.52 : 735,774.12 = 209,923.44 : x
  2. Step 2: Convert to fraction form
    490,481.52/735,774.12 = 209,923.44/x
  3. Step 3: Cross multiply
    490,481.52x = 735,774.12 × 209,923.44
  4. Step 4: Simplify right side
    490,481.52x = 154,456,234,333.37
  5. Step 5: Solve for x
    x = 154,456,234,333.37/490,481.52
  6. Step 6: Final answer
    x = 314,907.35

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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.