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Finding the Fourth Proportional to 494,298.54, 682,154.73 and 279,447.66

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Solution

The fourth proportional to 494,298.54, 682,154.73 and 279,447.66 is: 385,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,298.54 : 682,154.73 = 279,447.66 : x
  2. Step 2: Convert to fraction form
    494,298.54/682,154.73 = 279,447.66/x
  3. Step 3: Cross multiply
    494,298.54x = 682,154.73 × 279,447.66
  4. Step 4: Simplify right side
    494,298.54x = 190,626,543,056.43
  5. Step 5: Solve for x
    x = 190,626,543,056.43/494,298.54
  6. Step 6: Final answer
    x = 385,650.63

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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.