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Finding the Fourth Proportional to 512,969.18, 769,497.50 and 133,940.21

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Solution

The fourth proportional to 512,969.18, 769,497.50 and 133,940.21 is: 200,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,969.18 : 769,497.50 = 133,940.21 : x
  2. Step 2: Convert to fraction form
    512,969.18/769,497.50 = 133,940.21/x
  3. Step 3: Cross multiply
    512,969.18x = 769,497.50 × 133,940.21
  4. Step 4: Simplify right side
    512,969.18x = 103,066,653,231.84
  5. Step 5: Solve for x
    x = 103,066,653,231.84/512,969.18
  6. Step 6: Final answer
    x = 200,921.73

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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.