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Finding the Fourth Proportional to 274,185.90, 378,377.55 and 159,492.06

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Solution

The fourth proportional to 274,185.90, 378,377.55 and 159,492.06 is: 220,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,185.90 : 378,377.55 = 159,492.06 : x
  2. Step 2: Convert to fraction form
    274,185.90/378,377.55 = 159,492.06/x
  3. Step 3: Cross multiply
    274,185.90x = 378,377.55 × 159,492.06
  4. Step 4: Simplify right side
    274,185.90x = 60,348,214,907.25
  5. Step 5: Solve for x
    x = 60,348,214,907.25/274,185.90
  6. Step 6: Final answer
    x = 220,099.63

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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.