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Finding the Fourth Proportional to 491,298.44, 678,005.09 and 276,446.13

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Solution

The fourth proportional to 491,298.44, 678,005.09 and 276,446.13 is: 381,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,298.44 : 678,005.09 = 276,446.13 : x
  2. Step 2: Convert to fraction form
    491,298.44/678,005.09 = 276,446.13/x
  3. Step 3: Cross multiply
    491,298.44x = 678,005.09 × 276,446.13
  4. Step 4: Simplify right side
    491,298.44x = 187,431,881,868.57
  5. Step 5: Solve for x
    x = 187,431,881,868.57/491,298.44
  6. Step 6: Final answer
    x = 381,503.11

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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.