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Finding the Fourth Proportional to 296,613.26, 408,998.31 and 189,012.86

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Solution

The fourth proportional to 296,613.26, 408,998.31 and 189,012.86 is: 260,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,613.26 : 408,998.31 = 189,012.86 : x
  2. Step 2: Convert to fraction form
    296,613.26/408,998.31 = 189,012.86/x
  3. Step 3: Cross multiply
    296,613.26x = 408,998.31 × 189,012.86
  4. Step 4: Simplify right side
    296,613.26x = 77,305,940,308.27
  5. Step 5: Solve for x
    x = 77,305,940,308.27/296,613.26
  6. Step 6: Final answer
    x = 260,628.74

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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.