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Finding the Fourth Proportional to 264,879.30, 397,310.16 and 115,119.78

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Solution

The fourth proportional to 264,879.30, 397,310.16 and 115,119.78 is: 172,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,879.30 : 397,310.16 = 115,119.78 : x
  2. Step 2: Convert to fraction form
    264,879.30/397,310.16 = 115,119.78/x
  3. Step 3: Cross multiply
    264,879.30x = 397,310.16 × 115,119.78
  4. Step 4: Simplify right side
    264,879.30x = 45,738,258,210.96
  5. Step 5: Solve for x
    x = 45,738,258,210.96/264,879.30
  6. Step 6: Final answer
    x = 172,675.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.