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Finding the Fourth Proportional to 309,793.43, 426,718.35 and 218,993.24

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Solution

The fourth proportional to 309,793.43, 426,718.35 and 218,993.24 is: 301,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,793.43 : 426,718.35 = 218,993.24 : x
  2. Step 2: Convert to fraction form
    309,793.43/426,718.35 = 218,993.24/x
  3. Step 3: Cross multiply
    309,793.43x = 426,718.35 × 218,993.24
  4. Step 4: Simplify right side
    309,793.43x = 93,448,435,100.75
  5. Step 5: Solve for x
    x = 93,448,435,100.75/309,793.43
  6. Step 6: Final answer
    x = 301,647.57

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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.