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Finding the Fourth Proportional to 305,073.50, 420,859.04 and 191,958.62

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Solution

The fourth proportional to 305,073.50, 420,859.04 and 191,958.62 is: 264,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,073.50 : 420,859.04 = 191,958.62 : x
  2. Step 2: Convert to fraction form
    305,073.50/420,859.04 = 191,958.62/x
  3. Step 3: Cross multiply
    305,073.50x = 420,859.04 × 191,958.62
  4. Step 4: Simplify right side
    305,073.50x = 80,787,522,064.97
  5. Step 5: Solve for x
    x = 80,787,522,064.97/305,073.50
  6. Step 6: Final answer
    x = 264,813.30

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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.