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Finding the Fourth Proportional to 497,452, 686,414.52 and 279,629.88

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Solution

The fourth proportional to 497,452, 686,414.52 and 279,629.88 is: 385,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,452 : 686,414.52 = 279,629.88 : x
  2. Step 2: Convert to fraction form
    497,452/686,414.52 = 279,629.88/x
  3. Step 3: Cross multiply
    497,452x = 686,414.52 × 279,629.88
  4. Step 4: Simplify right side
    497,452x = 191,942,009,857.86
  5. Step 5: Solve for x
    x = 191,942,009,857.86/497,452
  6. Step 6: Final answer
    x = 385,850.31

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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.