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Finding the Fourth Proportional to 512,398.84, 768,626.24 and 212,909.70

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Solution

The fourth proportional to 512,398.84, 768,626.24 and 212,909.70 is: 319,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,398.84 : 768,626.24 = 212,909.70 : x
  2. Step 2: Convert to fraction form
    512,398.84/768,626.24 = 212,909.70/x
  3. Step 3: Cross multiply
    512,398.84x = 768,626.24 × 212,909.70
  4. Step 4: Simplify right side
    512,398.84x = 163,647,982,170.53
  5. Step 5: Solve for x
    x = 163,647,982,170.53/512,398.84
  6. Step 6: Final answer
    x = 319,376.18

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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.