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Finding the Fourth Proportional to 306,071.62, 422,441.28 and 209,542.42

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Solution

The fourth proportional to 306,071.62, 422,441.28 and 209,542.42 is: 289,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,071.62 : 422,441.28 = 209,542.42 : x
  2. Step 2: Convert to fraction form
    306,071.62/422,441.28 = 209,542.42/x
  3. Step 3: Cross multiply
    306,071.62x = 422,441.28 × 209,542.42
  4. Step 4: Simplify right side
    306,071.62x = 88,519,368,119.10
  5. Step 5: Solve for x
    x = 88,519,368,119.10/306,071.62
  6. Step 6: Final answer
    x = 289,211.29

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1.5x scale

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.