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Finding the Fourth Proportional to 305,538.26, 421,693.49 and 178,213.88

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Solution

The fourth proportional to 305,538.26, 421,693.49 and 178,213.88 is: 245,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,538.26 : 421,693.49 = 178,213.88 : x
  2. Step 2: Convert to fraction form
    305,538.26/421,693.49 = 178,213.88/x
  3. Step 3: Cross multiply
    305,538.26x = 421,693.49 × 178,213.88
  4. Step 4: Simplify right side
    305,538.26x = 75,151,634,523.41
  5. Step 5: Solve for x
    x = 75,151,634,523.41/305,538.26
  6. Step 6: Final answer
    x = 245,964.73

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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.