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Finding the Fourth Proportional to 491,410.13, 678,033.78 and 276,471.77

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Solution

The fourth proportional to 491,410.13, 678,033.78 and 276,471.77 is: 381,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,410.13 : 678,033.78 = 276,471.77 : x
  2. Step 2: Convert to fraction form
    491,410.13/678,033.78 = 276,471.77/x
  3. Step 3: Cross multiply
    491,410.13x = 678,033.78 × 276,471.77
  4. Step 4: Simplify right side
    491,410.13x = 187,457,200,218.55
  5. Step 5: Solve for x
    x = 187,457,200,218.55/491,410.13
  6. Step 6: Final answer
    x = 381,467.92

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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.