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Finding the Fourth Proportional to 311,879.72, 430,396.44 and 172,182.66

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Solution

The fourth proportional to 311,879.72, 430,396.44 and 172,182.66 is: 237,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,879.72 : 430,396.44 = 172,182.66 : x
  2. Step 2: Convert to fraction form
    311,879.72/430,396.44 = 172,182.66/x
  3. Step 3: Cross multiply
    311,879.72x = 430,396.44 × 172,182.66
  4. Step 4: Simplify right side
    311,879.72x = 74,106,804,055.04
  5. Step 5: Solve for x
    x = 74,106,804,055.04/311,879.72
  6. Step 6: Final answer
    x = 237,613.41

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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.