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Finding the Fourth Proportional to 200,297.64, 276,410.16 and 115,414.50

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Solution

The fourth proportional to 200,297.64, 276,410.16 and 115,414.50 is: 159,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.64 : 276,410.16 = 115,414.50 : x
  2. Step 2: Convert to fraction form
    200,297.64/276,410.16 = 115,414.50/x
  3. Step 3: Cross multiply
    200,297.64x = 276,410.16 × 115,414.50
  4. Step 4: Simplify right side
    200,297.64x = 31,901,740,411.32
  5. Step 5: Solve for x
    x = 31,901,740,411.32/200,297.64
  6. Step 6: Final answer
    x = 159,271.67

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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.