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Finding the Fourth Proportional to 511,963.73, 767,858.10 and 137,899.25

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Solution

The fourth proportional to 511,963.73, 767,858.10 and 137,899.25 is: 206,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,963.73 : 767,858.10 = 137,899.25 : x
  2. Step 2: Convert to fraction form
    511,963.73/767,858.10 = 137,899.25/x
  3. Step 3: Cross multiply
    511,963.73x = 767,858.10 × 137,899.25
  4. Step 4: Simplify right side
    511,963.73x = 105,887,056,096.43
  5. Step 5: Solve for x
    x = 105,887,056,096.43/511,963.73
  6. Step 6: Final answer
    x = 206,825.31

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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.