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Finding the Fourth Proportional to 494,897.82, 682,974.13 and 290,911.32

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Solution

The fourth proportional to 494,897.82, 682,974.13 and 290,911.32 is: 401,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,897.82 : 682,974.13 = 290,911.32 : x
  2. Step 2: Convert to fraction form
    494,897.82/682,974.13 = 290,911.32/x
  3. Step 3: Cross multiply
    494,897.82x = 682,974.13 × 290,911.32
  4. Step 4: Simplify right side
    494,897.82x = 198,684,907,423.20
  5. Step 5: Solve for x
    x = 198,684,907,423.20/494,897.82
  6. Step 6: Final answer
    x = 401,466.52

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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.