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Finding the Fourth Proportional to 306,006, 422,327.88 and 171,870

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Solution

The fourth proportional to 306,006, 422,327.88 and 171,870 is: 237,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,006 : 422,327.88 = 171,870 : x
  2. Step 2: Convert to fraction form
    306,006/422,327.88 = 171,870/x
  3. Step 3: Cross multiply
    306,006x = 422,327.88 × 171,870
  4. Step 4: Simplify right side
    306,006x = 72,585,492,735.60
  5. Step 5: Solve for x
    x = 72,585,492,735.60/306,006
  6. Step 6: Final answer
    x = 237,202.84

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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.