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Finding the Fourth Proportional to 259,488, 358,093.44 and 140,256

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Solution

The fourth proportional to 259,488, 358,093.44 and 140,256 is: 193,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,488 : 358,093.44 = 140,256 : x
  2. Step 2: Convert to fraction form
    259,488/358,093.44 = 140,256/x
  3. Step 3: Cross multiply
    259,488x = 358,093.44 × 140,256
  4. Step 4: Simplify right side
    259,488x = 50,224,753,520.64
  5. Step 5: Solve for x
    x = 50,224,753,520.64/259,488
  6. Step 6: Final answer
    x = 193,553.28

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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.