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Finding the Fourth Proportional to 491,470.27, 678,250.79 and 276,624.25

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Solution

The fourth proportional to 491,470.27, 678,250.79 and 276,624.25 is: 381,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,470.27 : 678,250.79 = 276,624.25 : x
  2. Step 2: Convert to fraction form
    491,470.27/678,250.79 = 276,624.25/x
  3. Step 3: Cross multiply
    491,470.27x = 678,250.79 × 276,624.25
  4. Step 4: Simplify right side
    491,470.27x = 187,620,616,095.66
  5. Step 5: Solve for x
    x = 187,620,616,095.66/491,470.27
  6. Step 6: Final answer
    x = 381,753.74

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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.