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Finding the Fourth Proportional to 345,199.78, 476,345.37 and 192,226.42

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Solution

The fourth proportional to 345,199.78, 476,345.37 and 192,226.42 is: 265,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,199.78 : 476,345.37 = 192,226.42 : x
  2. Step 2: Convert to fraction form
    345,199.78/476,345.37 = 192,226.42/x
  3. Step 3: Cross multiply
    345,199.78x = 476,345.37 × 192,226.42
  4. Step 4: Simplify right side
    345,199.78x = 91,566,165,158.68
  5. Step 5: Solve for x
    x = 91,566,165,158.68/345,199.78
  6. Step 6: Final answer
    x = 265,255.57

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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.