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Finding the Fourth Proportional to 305,097.43, 421,081.05 and 194,763.73

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Solution

The fourth proportional to 305,097.43, 421,081.05 and 194,763.73 is: 268,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,097.43 : 421,081.05 = 194,763.73 : x
  2. Step 2: Convert to fraction form
    305,097.43/421,081.05 = 194,763.73/x
  3. Step 3: Cross multiply
    305,097.43x = 421,081.05 × 194,763.73
  4. Step 4: Simplify right side
    305,097.43x = 82,011,315,930.32
  5. Step 5: Solve for x
    x = 82,011,315,930.32/305,097.43
  6. Step 6: Final answer
    x = 268,803.69

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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.