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Finding the Fourth Proportional to 274,494.40, 378,715.94 and 153,616.48

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Solution

The fourth proportional to 274,494.40, 378,715.94 and 153,616.48 is: 211,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,494.40 : 378,715.94 = 153,616.48 : x
  2. Step 2: Convert to fraction form
    274,494.40/378,715.94 = 153,616.48/x
  3. Step 3: Cross multiply
    274,494.40x = 378,715.94 × 153,616.48
  4. Step 4: Simplify right side
    274,494.40x = 58,177,009,622.69
  5. Step 5: Solve for x
    x = 58,177,009,622.69/274,494.40
  6. Step 6: Final answer
    x = 211,942.43

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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.