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Finding the Fourth Proportional to 345,622, 476,958.36 and 186,646

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Solution

The fourth proportional to 345,622, 476,958.36 and 186,646 is: 257,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,622 : 476,958.36 = 186,646 : x
  2. Step 2: Convert to fraction form
    345,622/476,958.36 = 186,646/x
  3. Step 3: Cross multiply
    345,622x = 476,958.36 × 186,646
  4. Step 4: Simplify right side
    345,622x = 89,022,370,060.56
  5. Step 5: Solve for x
    x = 89,022,370,060.56/345,622
  6. Step 6: Final answer
    x = 257,571.48

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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.