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Finding the Fourth Proportional to 301,755.72, 416,249.66 and 188,381.64

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Solution

The fourth proportional to 301,755.72, 416,249.66 and 188,381.64 is: 259,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,755.72 : 416,249.66 = 188,381.64 : x
  2. Step 2: Convert to fraction form
    301,755.72/416,249.66 = 188,381.64/x
  3. Step 3: Cross multiply
    301,755.72x = 416,249.66 × 188,381.64
  4. Step 4: Simplify right side
    301,755.72x = 78,413,793,600.24
  5. Step 5: Solve for x
    x = 78,413,793,600.24/301,755.72
  6. Step 6: Final answer
    x = 259,858.52

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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.