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Finding the Fourth Proportional to 491,812.25, 678,687.63 and 276,947.69

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Solution

The fourth proportional to 491,812.25, 678,687.63 and 276,947.69 is: 382,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,812.25 : 678,687.63 = 276,947.69 : x
  2. Step 2: Convert to fraction form
    491,812.25/678,687.63 = 276,947.69/x
  3. Step 3: Cross multiply
    491,812.25x = 678,687.63 × 276,947.69
  4. Step 4: Simplify right side
    491,812.25x = 187,960,967,966.64
  5. Step 5: Solve for x
    x = 187,960,967,966.64/491,812.25
  6. Step 6: Final answer
    x = 382,180.33

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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.