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Finding the Fourth Proportional to 512,608.20, 768,912.30 and 212,989.20

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Solution

The fourth proportional to 512,608.20, 768,912.30 and 212,989.20 is: 319,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,608.20 : 768,912.30 = 212,989.20 : x
  2. Step 2: Convert to fraction form
    512,608.20/768,912.30 = 212,989.20/x
  3. Step 3: Cross multiply
    512,608.20x = 768,912.30 × 212,989.20
  4. Step 4: Simplify right side
    512,608.20x = 163,770,015,647.16
  5. Step 5: Solve for x
    x = 163,770,015,647.16/512,608.20
  6. Step 6: Final answer
    x = 319,483.80

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1.5x scale

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.