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Finding the Fourth Proportional to 269,039.31, 403,418.84 and 100,420.98

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Solution

The fourth proportional to 269,039.31, 403,418.84 and 100,420.98 is: 150,579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,039.31 : 403,418.84 = 100,420.98 : x
  2. Step 2: Convert to fraction form
    269,039.31/403,418.84 = 100,420.98/x
  3. Step 3: Cross multiply
    269,039.31x = 403,418.84 × 100,420.98
  4. Step 4: Simplify right side
    269,039.31x = 40,511,714,761.16
  5. Step 5: Solve for x
    x = 40,511,714,761.16/269,039.31
  6. Step 6: Final answer
    x = 150,579.17

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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.