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Finding the Fourth Proportional to 772,761,530, 1,066,313,963.88 and 522,410,643.92

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Solution

The fourth proportional to 772,761,530, 1,066,313,963.88 and 522,410,643.92 is: 720,861,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,761,530 : 1,066,313,963.88 = 522,410,643.92 : x
  2. Step 2: Convert to fraction form
    772,761,530/1,066,313,963.88 = 522,410,643.92/x
  3. Step 3: Cross multiply
    772,761,530x = 1,066,313,963.88 × 522,410,643.92
  4. Step 4: Simplify right side
    772,761,530x = 557,053,764,491,438,464
  5. Step 5: Solve for x
    x = 557,053,764,491,438,464/772,761,530
  6. Step 6: Final answer
    x = 720,861,149.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.