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Finding the Fourth Proportional to 274,147.56, 378,322.56 and 153,288.36

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Solution

The fourth proportional to 274,147.56, 378,322.56 and 153,288.36 is: 211,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,147.56 : 378,322.56 = 153,288.36 : x
  2. Step 2: Convert to fraction form
    274,147.56/378,322.56 = 153,288.36/x
  3. Step 3: Cross multiply
    274,147.56x = 378,322.56 × 153,288.36
  4. Step 4: Simplify right side
    274,147.56x = 57,992,444,773.40
  5. Step 5: Solve for x
    x = 57,992,444,773.40/274,147.56
  6. Step 6: Final answer
    x = 211,537.34

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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.