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Finding the Fourth Proportional to 259,498, 358,107.28 and 140,266

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Solution

The fourth proportional to 259,498, 358,107.28 and 140,266 is: 193,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,498 : 358,107.28 = 140,266 : x
  2. Step 2: Convert to fraction form
    259,498/358,107.28 = 140,266/x
  3. Step 3: Cross multiply
    259,498x = 358,107.28 × 140,266
  4. Step 4: Simplify right side
    259,498x = 50,230,275,736.48
  5. Step 5: Solve for x
    x = 50,230,275,736.48/259,498
  6. Step 6: Final answer
    x = 193,567.10

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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.