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Finding the Fourth Proportional to 305,244.96, 421,446.70 and 190,698

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Solution

The fourth proportional to 305,244.96, 421,446.70 and 190,698 is: 263,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,244.96 : 421,446.70 = 190,698 : x
  2. Step 2: Convert to fraction form
    305,244.96/421,446.70 = 190,698/x
  3. Step 3: Cross multiply
    305,244.96x = 421,446.70 × 190,698
  4. Step 4: Simplify right side
    305,244.96x = 80,369,042,796.60
  5. Step 5: Solve for x
    x = 80,369,042,796.60/305,244.96
  6. Step 6: Final answer
    x = 263,293.59

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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.