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Finding the Fourth Proportional to 274,842.58, 379,357.41 and 161,701.78

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Solution

The fourth proportional to 274,842.58, 379,357.41 and 161,701.78 is: 223,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,842.58 : 379,357.41 = 161,701.78 : x
  2. Step 2: Convert to fraction form
    274,842.58/379,357.41 = 161,701.78/x
  3. Step 3: Cross multiply
    274,842.58x = 379,357.41 × 161,701.78
  4. Step 4: Simplify right side
    274,842.58x = 61,342,768,453.19
  5. Step 5: Solve for x
    x = 61,342,768,453.19/274,842.58
  6. Step 6: Final answer
    x = 223,192.38

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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.