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Finding the Fourth Proportional to 343,910.34, 474,639.84 and 193,007.34

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Solution

The fourth proportional to 343,910.34, 474,639.84 and 193,007.34 is: 266,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,910.34 : 474,639.84 = 193,007.34 : x
  2. Step 2: Convert to fraction form
    343,910.34/474,639.84 = 193,007.34/x
  3. Step 3: Cross multiply
    343,910.34x = 474,639.84 × 193,007.34
  4. Step 4: Simplify right side
    343,910.34x = 91,608,972,976.43
  5. Step 5: Solve for x
    x = 91,608,972,976.43/343,910.34
  6. Step 6: Final answer
    x = 266,374.58

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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.