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Finding the Fourth Proportional to 491,313.30, 678,007.97 and 276,449.07

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Solution

The fourth proportional to 491,313.30, 678,007.97 and 276,449.07 is: 381,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,313.30 : 678,007.97 = 276,449.07 : x
  2. Step 2: Convert to fraction form
    491,313.30/678,007.97 = 276,449.07/x
  3. Step 3: Cross multiply
    491,313.30x = 678,007.97 × 276,449.07
  4. Step 4: Simplify right side
    491,313.30x = 187,434,671,376.84
  5. Step 5: Solve for x
    x = 187,434,671,376.84/491,313.30
  6. Step 6: Final answer
    x = 381,497.25

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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.