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Finding the Fourth Proportional to 295,884.09, 408,205.31 and 188,434.89

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Solution

The fourth proportional to 295,884.09, 408,205.31 and 188,434.89 is: 259,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,884.09 : 408,205.31 = 188,434.89 : x
  2. Step 2: Convert to fraction form
    295,884.09/408,205.31 = 188,434.89/x
  3. Step 3: Cross multiply
    295,884.09x = 408,205.31 × 188,434.89
  4. Step 4: Simplify right side
    295,884.09x = 76,920,121,745.09
  5. Step 5: Solve for x
    x = 76,920,121,745.09/295,884.09
  6. Step 6: Final answer
    x = 259,967.08

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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.