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Finding the Fourth Proportional to 777,893.64, 1,073,493.24 and 420,197.64

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Solution

The fourth proportional to 777,893.64, 1,073,493.24 and 420,197.64 is: 579,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,893.64 : 1,073,493.24 = 420,197.64 : x
  2. Step 2: Convert to fraction form
    777,893.64/1,073,493.24 = 420,197.64/x
  3. Step 3: Cross multiply
    777,893.64x = 1,073,493.24 × 420,197.64
  4. Step 4: Simplify right side
    777,893.64x = 451,079,326,003.95
  5. Step 5: Solve for x
    x = 451,079,326,003.95/777,893.64
  6. Step 6: Final answer
    x = 579,872.75

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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.