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Finding the Fourth Proportional to 491,805.98, 678,726.84 and 274,028.77

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Solution

The fourth proportional to 491,805.98, 678,726.84 and 274,028.77 is: 378,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,805.98 : 678,726.84 = 274,028.77 : x
  2. Step 2: Convert to fraction form
    491,805.98/678,726.84 = 274,028.77/x
  3. Step 3: Cross multiply
    491,805.98x = 678,726.84 × 274,028.77
  4. Step 4: Simplify right side
    491,805.98x = 185,990,679,761.04
  5. Step 5: Solve for x
    x = 185,990,679,761.04/491,805.98
  6. Step 6: Final answer
    x = 378,178.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.