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Finding the Fourth Proportional to 512,468.11, 769,170.93 and 259,922.98

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Solution

The fourth proportional to 512,468.11, 769,170.93 and 259,922.98 is: 390,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,468.11 : 769,170.93 = 259,922.98 : x
  2. Step 2: Convert to fraction form
    512,468.11/769,170.93 = 259,922.98/x
  3. Step 3: Cross multiply
    512,468.11x = 769,170.93 × 259,922.98
  4. Step 4: Simplify right side
    512,468.11x = 199,925,200,254.97
  5. Step 5: Solve for x
    x = 199,925,200,254.97/512,468.11
  6. Step 6: Final answer
    x = 390,122.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.