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Finding the Fourth Proportional to 496,115.80, 744,270.90 and 211,805.80

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Solution

The fourth proportional to 496,115.80, 744,270.90 and 211,805.80 is: 317,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,115.80 : 744,270.90 = 211,805.80 : x
  2. Step 2: Convert to fraction form
    496,115.80/744,270.90 = 211,805.80/x
  3. Step 3: Cross multiply
    496,115.80x = 744,270.90 × 211,805.80
  4. Step 4: Simplify right side
    496,115.80x = 157,640,893,391.22
  5. Step 5: Solve for x
    x = 157,640,893,391.22/496,115.80
  6. Step 6: Final answer
    x = 317,750.20

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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.