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Finding the Fourth Proportional to 274,511.50, 378,825.78 and 153,652.75

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Solution

The fourth proportional to 274,511.50, 378,825.78 and 153,652.75 is: 212,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,511.50 : 378,825.78 = 153,652.75 : x
  2. Step 2: Convert to fraction form
    274,511.50/378,825.78 = 153,652.75/x
  3. Step 3: Cross multiply
    274,511.50x = 378,825.78 × 153,652.75
  4. Step 4: Simplify right side
    274,511.50x = 58,207,622,867.90
  5. Step 5: Solve for x
    x = 58,207,622,867.90/274,511.50
  6. Step 6: Final answer
    x = 212,040.74

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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.