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Finding the Fourth Proportional to 200,296.14, 276,408.09 and 115,413

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Solution

The fourth proportional to 200,296.14, 276,408.09 and 115,413 is: 159,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,296.14 : 276,408.09 = 115,413 : x
  2. Step 2: Convert to fraction form
    200,296.14/276,408.09 = 115,413/x
  3. Step 3: Cross multiply
    200,296.14x = 276,408.09 × 115,413
  4. Step 4: Simplify right side
    200,296.14x = 31,901,086,891.17
  5. Step 5: Solve for x
    x = 31,901,086,891.17/200,296.14
  6. Step 6: Final answer
    x = 159,269.60

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1.5x scale

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.