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Finding the Fourth Proportional to 511,016.73, 765,943.83 and 310,896

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Solution

The fourth proportional to 511,016.73, 765,943.83 and 310,896 is: 465,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,016.73 : 765,943.83 = 310,896 : x
  2. Step 2: Convert to fraction form
    511,016.73/765,943.83 = 310,896/x
  3. Step 3: Cross multiply
    511,016.73x = 765,943.83 × 310,896
  4. Step 4: Simplify right side
    511,016.73x = 238,128,872,971.68
  5. Step 5: Solve for x
    x = 238,128,872,971.68/511,016.73
  6. Step 6: Final answer
    x = 465,990.37

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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.