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Finding the Fourth Proportional to 301,754.21, 416,247.59 and 188,380.13

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Solution

The fourth proportional to 301,754.21, 416,247.59 and 188,380.13 is: 259,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,754.21 : 416,247.59 = 188,380.13 : x
  2. Step 2: Convert to fraction form
    301,754.21/416,247.59 = 188,380.13/x
  3. Step 3: Cross multiply
    301,754.21x = 416,247.59 × 188,380.13
  4. Step 4: Simplify right side
    301,754.21x = 78,412,772,093.25
  5. Step 5: Solve for x
    x = 78,412,772,093.25/301,754.21
  6. Step 6: Final answer
    x = 259,856.44

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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.