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Finding the Fourth Proportional to 491,410.85, 678,034.77 and 276,472.49

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Solution

The fourth proportional to 491,410.85, 678,034.77 and 276,472.49 is: 381,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,410.85 : 678,034.77 = 276,472.49 : x
  2. Step 2: Convert to fraction form
    491,410.85/678,034.77 = 276,472.49/x
  3. Step 3: Cross multiply
    491,410.85x = 678,034.77 × 276,472.49
  4. Step 4: Simplify right side
    491,410.85x = 187,457,961,168.48
  5. Step 5: Solve for x
    x = 187,457,961,168.48/491,410.85
  6. Step 6: Final answer
    x = 381,468.91

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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.