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Finding the Fourth Proportional to 494,620.34, 682,649.40 and 313,349.08

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Solution

The fourth proportional to 494,620.34, 682,649.40 and 313,349.08 is: 432,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,620.34 : 682,649.40 = 313,349.08 : x
  2. Step 2: Convert to fraction form
    494,620.34/682,649.40 = 313,349.08/x
  3. Step 3: Cross multiply
    494,620.34x = 682,649.40 × 313,349.08
  4. Step 4: Simplify right side
    494,620.34x = 213,907,561,452.55
  5. Step 5: Solve for x
    x = 213,907,561,452.55/494,620.34
  6. Step 6: Final answer
    x = 432,468.19

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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.