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Finding the Fourth Proportional to 512,492.10, 768,738.15 and 512,492.10

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Solution

The fourth proportional to 512,492.10, 768,738.15 and 512,492.10 is: 768,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,492.10 : 768,738.15 = 512,492.10 : x
  2. Step 2: Convert to fraction form
    512,492.10/768,738.15 = 512,492.10/x
  3. Step 3: Cross multiply
    512,492.10x = 768,738.15 × 512,492.10
  4. Step 4: Simplify right side
    512,492.10x = 393,972,228,843.62
  5. Step 5: Solve for x
    x = 393,972,228,843.62/512,492.10
  6. Step 6: Final answer
    x = 768,738.15

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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.