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Finding the Fourth Proportional to 511,072.20, 766,608.30 and 461,305.80

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Solution

The fourth proportional to 511,072.20, 766,608.30 and 461,305.80 is: 691,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,072.20 : 766,608.30 = 461,305.80 : x
  2. Step 2: Convert to fraction form
    511,072.20/766,608.30 = 461,305.80/x
  3. Step 3: Cross multiply
    511,072.20x = 766,608.30 × 461,305.80
  4. Step 4: Simplify right side
    511,072.20x = 353,640,855,118.14
  5. Step 5: Solve for x
    x = 353,640,855,118.14/511,072.20
  6. Step 6: Final answer
    x = 691,958.70

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Similar ratio
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1.5x scale

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.