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Finding the Fourth Proportional to 491,593.06, 678,410.97 and 276,740.66

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Solution

The fourth proportional to 491,593.06, 678,410.97 and 276,740.66 is: 381,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,593.06 : 678,410.97 = 276,740.66 : x
  2. Step 2: Convert to fraction form
    491,593.06/678,410.97 = 276,740.66/x
  3. Step 3: Cross multiply
    491,593.06x = 678,410.97 × 276,740.66
  4. Step 4: Simplify right side
    491,593.06x = 187,743,899,589.04
  5. Step 5: Solve for x
    x = 187,743,899,589.04/491,593.06
  6. Step 6: Final answer
    x = 381,909.17

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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.