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Finding the Fourth Proportional to 491,445.92, 678,083.17 and 276,507.56

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Solution

The fourth proportional to 491,445.92, 678,083.17 and 276,507.56 is: 381,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,445.92 : 678,083.17 = 276,507.56 : x
  2. Step 2: Convert to fraction form
    491,445.92/678,083.17 = 276,507.56/x
  3. Step 3: Cross multiply
    491,445.92x = 678,083.17 × 276,507.56
  4. Step 4: Simplify right side
    491,445.92x = 187,495,121,299.62
  5. Step 5: Solve for x
    x = 187,495,121,299.62/491,445.92
  6. Step 6: Final answer
    x = 381,517.30

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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.