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Finding the Fourth Proportional to 512,912.20, 769,368.30 and 505,913.80

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Solution

The fourth proportional to 512,912.20, 769,368.30 and 505,913.80 is: 758,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,912.20 : 769,368.30 = 505,913.80 : x
  2. Step 2: Convert to fraction form
    512,912.20/769,368.30 = 505,913.80/x
  3. Step 3: Cross multiply
    512,912.20x = 769,368.30 × 505,913.80
  4. Step 4: Simplify right side
    512,912.20x = 389,234,040,252.54
  5. Step 5: Solve for x
    x = 389,234,040,252.54/512,912.20
  6. Step 6: Final answer
    x = 758,870.70

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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.