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Finding the Fourth Proportional to 512,097.70, 768,146.55 and 512,097.70

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Solution

The fourth proportional to 512,097.70, 768,146.55 and 512,097.70 is: 768,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,097.70 : 768,146.55 = 512,097.70 : x
  2. Step 2: Convert to fraction form
    512,097.70/768,146.55 = 512,097.70/x
  3. Step 3: Cross multiply
    512,097.70x = 768,146.55 × 512,097.70
  4. Step 4: Simplify right side
    512,097.70x = 393,366,081,517.94
  5. Step 5: Solve for x
    x = 393,366,081,517.94/512,097.70
  6. Step 6: Final answer
    x = 768,146.55

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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.