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Finding the Fourth Proportional to 345,597, 476,948.34 and 194,694

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Solution

The fourth proportional to 345,597, 476,948.34 and 194,694 is: 268,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,597 : 476,948.34 = 194,694 : x
  2. Step 2: Convert to fraction form
    345,597/476,948.34 = 194,694/x
  3. Step 3: Cross multiply
    345,597x = 476,948.34 × 194,694
  4. Step 4: Simplify right side
    345,597x = 92,858,980,107.96
  5. Step 5: Solve for x
    x = 92,858,980,107.96/345,597
  6. Step 6: Final answer
    x = 268,691.51

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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.