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Finding the Fourth Proportional to 491,593.56, 678,411.66 and 276,741.17

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Solution

The fourth proportional to 491,593.56, 678,411.66 and 276,741.17 is: 381,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,593.56 : 678,411.66 = 276,741.17 : x
  2. Step 2: Convert to fraction form
    491,593.56/678,411.66 = 276,741.17/x
  3. Step 3: Cross multiply
    491,593.56x = 678,411.66 × 276,741.17
  4. Step 4: Simplify right side
    491,593.56x = 187,744,433,137.98
  5. Step 5: Solve for x
    x = 187,744,433,137.98/491,593.56
  6. Step 6: Final answer
    x = 381,909.87

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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.