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Finding the Fourth Proportional to 431,269.23, 646,640.33 and 206,698.35

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Solution

The fourth proportional to 431,269.23, 646,640.33 and 206,698.35 is: 309,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,269.23 : 646,640.33 = 206,698.35 : x
  2. Step 2: Convert to fraction form
    431,269.23/646,640.33 = 206,698.35/x
  3. Step 3: Cross multiply
    431,269.23x = 646,640.33 × 206,698.35
  4. Step 4: Simplify right side
    431,269.23x = 133,659,488,220.96
  5. Step 5: Solve for x
    x = 133,659,488,220.96/431,269.23
  6. Step 6: Final answer
    x = 309,921.23

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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.