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Finding the Fourth Proportional to 306,496.82, 422,955 and 168,662.90

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Solution

The fourth proportional to 306,496.82, 422,955 and 168,662.90 is: 232,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,496.82 : 422,955 = 168,662.90 : x
  2. Step 2: Convert to fraction form
    306,496.82/422,955 = 168,662.90/x
  3. Step 3: Cross multiply
    306,496.82x = 422,955 × 168,662.90
  4. Step 4: Simplify right side
    306,496.82x = 71,336,816,869.50
  5. Step 5: Solve for x
    x = 71,336,816,869.50/306,496.82
  6. Step 6: Final answer
    x = 232,748.96

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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.