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Finding the Fourth Proportional to 511,194.33, 766,272 and 211,837.77

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Solution

The fourth proportional to 511,194.33, 766,272 and 211,837.77 is: 317,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,194.33 : 766,272 = 211,837.77 : x
  2. Step 2: Convert to fraction form
    511,194.33/766,272 = 211,837.77/x
  3. Step 3: Cross multiply
    511,194.33x = 766,272 × 211,837.77
  4. Step 4: Simplify right side
    511,194.33x = 162,325,351,693.44
  5. Step 5: Solve for x
    x = 162,325,351,693.44/511,194.33
  6. Step 6: Final answer
    x = 317,541.38

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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.