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Finding the Fourth Proportional to 511,169.30, 766,753.84 and 137,192.30

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Solution

The fourth proportional to 511,169.30, 766,753.84 and 137,192.30 is: 205,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,169.30 : 766,753.84 = 137,192.30 : x
  2. Step 2: Convert to fraction form
    511,169.30/766,753.84 = 137,192.30/x
  3. Step 3: Cross multiply
    511,169.30x = 766,753.84 × 137,192.30
  4. Step 4: Simplify right side
    511,169.30x = 105,192,721,269.53
  5. Step 5: Solve for x
    x = 105,192,721,269.53/511,169.30
  6. Step 6: Final answer
    x = 205,788.42

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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.