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Finding the Fourth Proportional to 491,323.26, 678,039.30 and 276,470.88

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Solution

The fourth proportional to 491,323.26, 678,039.30 and 276,470.88 is: 381,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,323.26 : 678,039.30 = 276,470.88 : x
  2. Step 2: Convert to fraction form
    491,323.26/678,039.30 = 276,470.88/x
  3. Step 3: Cross multiply
    491,323.26x = 678,039.30 × 276,470.88
  4. Step 4: Simplify right side
    491,323.26x = 187,458,121,945.58
  5. Step 5: Solve for x
    x = 187,458,121,945.58/491,323.26
  6. Step 6: Final answer
    x = 381,537.24

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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.