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Finding the Fourth Proportional to 511,866, 766,282.14 and 379,340.82

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Solution

The fourth proportional to 511,866, 766,282.14 and 379,340.82 is: 567,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,866 : 766,282.14 = 379,340.82 : x
  2. Step 2: Convert to fraction form
    511,866/766,282.14 = 379,340.82/x
  3. Step 3: Cross multiply
    511,866x = 766,282.14 × 379,340.82
  4. Step 4: Simplify right side
    511,866x = 290,682,095,338.96
  5. Step 5: Solve for x
    x = 290,682,095,338.96/511,866
  6. Step 6: Final answer
    x = 567,887.09

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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.