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Finding the Fourth Proportional to 511,183.76, 766,775.82 and 137,206.76

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Solution

The fourth proportional to 511,183.76, 766,775.82 and 137,206.76 is: 205,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,183.76 : 766,775.82 = 137,206.76 : x
  2. Step 2: Convert to fraction form
    511,183.76/766,775.82 = 137,206.76/x
  3. Step 3: Cross multiply
    511,183.76x = 766,775.82 × 137,206.76
  4. Step 4: Simplify right side
    511,183.76x = 105,206,825,908.54
  5. Step 5: Solve for x
    x = 105,206,825,908.54/511,183.76
  6. Step 6: Final answer
    x = 205,810.19

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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.