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Finding the Fourth Proportional to 511,745.49, 766,020.84 and 376,961.51

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Solution

The fourth proportional to 511,745.49, 766,020.84 and 376,961.51 is: 564,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,745.49 : 766,020.84 = 376,961.51 : x
  2. Step 2: Convert to fraction form
    511,745.49/766,020.84 = 376,961.51/x
  3. Step 3: Cross multiply
    511,745.49x = 766,020.84 × 376,961.51
  4. Step 4: Simplify right side
    511,745.49x = 288,760,372,537.87
  5. Step 5: Solve for x
    x = 288,760,372,537.87/511,745.49
  6. Step 6: Final answer
    x = 564,265.59

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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.