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Finding the Fourth Proportional to 494,643, 682,607.40 and 279,778.44

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Solution

The fourth proportional to 494,643, 682,607.40 and 279,778.44 is: 386,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,643 : 682,607.40 = 279,778.44 : x
  2. Step 2: Convert to fraction form
    494,643/682,607.40 = 279,778.44/x
  3. Step 3: Cross multiply
    494,643x = 682,607.40 × 279,778.44
  4. Step 4: Simplify right side
    494,643x = 190,978,833,504.46
  5. Step 5: Solve for x
    x = 190,978,833,504.46/494,643
  6. Step 6: Final answer
    x = 386,094.28

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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.