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Finding the Fourth Proportional to 408,326.30, 612,613.78 and 208,786.86

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Solution

The fourth proportional to 408,326.30, 612,613.78 and 208,786.86 is: 313,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,326.30 : 612,613.78 = 208,786.86 : x
  2. Step 2: Convert to fraction form
    408,326.30/612,613.78 = 208,786.86/x
  3. Step 3: Cross multiply
    408,326.30x = 612,613.78 × 208,786.86
  4. Step 4: Simplify right side
    408,326.30x = 127,905,707,518.93
  5. Step 5: Solve for x
    x = 127,905,707,518.93/408,326.30
  6. Step 6: Final answer
    x = 313,243.86

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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.