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Finding the Fourth Proportional to 512,922.64, 769,287.32 and 138,896.40

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Solution

The fourth proportional to 512,922.64, 769,287.32 and 138,896.40 is: 208,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,922.64 : 769,287.32 = 138,896.40 : x
  2. Step 2: Convert to fraction form
    512,922.64/769,287.32 = 138,896.40/x
  3. Step 3: Cross multiply
    512,922.64x = 769,287.32 × 138,896.40
  4. Step 4: Simplify right side
    512,922.64x = 106,851,239,313.65
  5. Step 5: Solve for x
    x = 106,851,239,313.65/512,922.64
  6. Step 6: Final answer
    x = 208,318.43

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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.