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Finding the Fourth Proportional to 274,245.84, 378,465.24 and 193,815.28

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Solution

The fourth proportional to 274,245.84, 378,465.24 and 193,815.28 is: 267,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,245.84 : 378,465.24 = 193,815.28 : x
  2. Step 2: Convert to fraction form
    274,245.84/378,465.24 = 193,815.28/x
  3. Step 3: Cross multiply
    274,245.84x = 378,465.24 × 193,815.28
  4. Step 4: Simplify right side
    274,245.84x = 73,352,346,460.87
  5. Step 5: Solve for x
    x = 73,352,346,460.87/274,245.84
  6. Step 6: Final answer
    x = 267,469.31

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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.