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Finding the Fourth Proportional to 306,020.20, 422,299.42 and 170,050.64

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Solution

The fourth proportional to 306,020.20, 422,299.42 and 170,050.64 is: 234,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,020.20 : 422,299.42 = 170,050.64 : x
  2. Step 2: Convert to fraction form
    306,020.20/422,299.42 = 170,050.64/x
  3. Step 3: Cross multiply
    306,020.20x = 422,299.42 × 170,050.64
  4. Step 4: Simplify right side
    306,020.20x = 71,812,286,642.63
  5. Step 5: Solve for x
    x = 71,812,286,642.63/306,020.20
  6. Step 6: Final answer
    x = 234,665.18

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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.