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Finding the Fourth Proportional to 306,199.62, 422,564.65 and 168,371.42

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Solution

The fourth proportional to 306,199.62, 422,564.65 and 168,371.42 is: 232,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,199.62 : 422,564.65 = 168,371.42 : x
  2. Step 2: Convert to fraction form
    306,199.62/422,564.65 = 168,371.42/x
  3. Step 3: Cross multiply
    306,199.62x = 422,564.65 × 168,371.42
  4. Step 4: Simplify right side
    306,199.62x = 71,147,807,628.55
  5. Step 5: Solve for x
    x = 71,147,807,628.55/306,199.62
  6. Step 6: Final answer
    x = 232,357.60

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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.