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Finding the Fourth Proportional to 274,361.20, 378,596.86 and 153,493

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Solution

The fourth proportional to 274,361.20, 378,596.86 and 153,493 is: 211,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,361.20 : 378,596.86 = 153,493 : x
  2. Step 2: Convert to fraction form
    274,361.20/378,596.86 = 153,493/x
  3. Step 3: Cross multiply
    274,361.20x = 378,596.86 × 153,493
  4. Step 4: Simplify right side
    274,361.20x = 58,111,967,831.98
  5. Step 5: Solve for x
    x = 58,111,967,831.98/274,361.20
  6. Step 6: Final answer
    x = 211,808.26

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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.