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Finding the Fourth Proportional to 491,470.14, 678,250.62 and 276,624.12

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Solution

The fourth proportional to 491,470.14, 678,250.62 and 276,624.12 is: 381,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,470.14 : 678,250.62 = 276,624.12 : x
  2. Step 2: Convert to fraction form
    491,470.14/678,250.62 = 276,624.12/x
  3. Step 3: Cross multiply
    491,470.14x = 678,250.62 × 276,624.12
  4. Step 4: Simplify right side
    491,470.14x = 187,620,480,896.95
  5. Step 5: Solve for x
    x = 187,620,480,896.95/491,470.14
  6. Step 6: Final answer
    x = 381,753.57

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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.