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Finding the Fourth Proportional to 274,409.63, 378,675.77 and 151,907.33

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Solution

The fourth proportional to 274,409.63, 378,675.77 and 151,907.33 is: 209,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,409.63 : 378,675.77 = 151,907.33 : x
  2. Step 2: Convert to fraction form
    274,409.63/378,675.77 = 151,907.33/x
  3. Step 3: Cross multiply
    274,409.63x = 378,675.77 × 151,907.33
  4. Step 4: Simplify right side
    274,409.63x = 57,523,622,503.48
  5. Step 5: Solve for x
    x = 57,523,622,503.48/274,409.63
  6. Step 6: Final answer
    x = 209,626.84

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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.