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Finding the Fourth Proportional to 274,076.51, 378,228.38 and 153,224.51

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Solution

The fourth proportional to 274,076.51, 378,228.38 and 153,224.51 is: 211,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,076.51 : 378,228.38 = 153,224.51 : x
  2. Step 2: Convert to fraction form
    274,076.51/378,228.38 = 153,224.51/x
  3. Step 3: Cross multiply
    274,076.51x = 378,228.38 × 153,224.51
  4. Step 4: Simplify right side
    274,076.51x = 57,953,858,193.59
  5. Step 5: Solve for x
    x = 57,953,858,193.59/274,076.51
  6. Step 6: Final answer
    x = 211,451.39

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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.