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Finding the Fourth Proportional to 306,276.72, 422,765.10 and 209,538.42

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Solution

The fourth proportional to 306,276.72, 422,765.10 and 209,538.42 is: 289,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,276.72 : 422,765.10 = 209,538.42 : x
  2. Step 2: Convert to fraction form
    306,276.72/422,765.10 = 209,538.42/x
  3. Step 3: Cross multiply
    306,276.72x = 422,765.10 × 209,538.42
  4. Step 4: Simplify right side
    306,276.72x = 88,585,531,085.14
  5. Step 5: Solve for x
    x = 88,585,531,085.14/306,276.72
  6. Step 6: Final answer
    x = 289,233.64

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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.