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Finding the Fourth Proportional to 305,231.94, 421,077.96 and 197,836.74

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Solution

The fourth proportional to 305,231.94, 421,077.96 and 197,836.74 is: 272,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,231.94 : 421,077.96 = 197,836.74 : x
  2. Step 2: Convert to fraction form
    305,231.94/421,077.96 = 197,836.74/x
  3. Step 3: Cross multiply
    305,231.94x = 421,077.96 × 197,836.74
  4. Step 4: Simplify right side
    305,231.94x = 83,304,690,892.25
  5. Step 5: Solve for x
    x = 83,304,690,892.25/305,231.94
  6. Step 6: Final answer
    x = 272,922.59

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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.