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Finding the Fourth Proportional to 306,245.28, 422,644.32 and 170,289.12

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Solution

The fourth proportional to 306,245.28, 422,644.32 and 170,289.12 is: 235,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,245.28 : 422,644.32 = 170,289.12 : x
  2. Step 2: Convert to fraction form
    306,245.28/422,644.32 = 170,289.12/x
  3. Step 3: Cross multiply
    306,245.28x = 422,644.32 × 170,289.12
  4. Step 4: Simplify right side
    306,245.28x = 71,971,729,325.80
  5. Step 5: Solve for x
    x = 71,971,729,325.80/306,245.28
  6. Step 6: Final answer
    x = 235,013.35

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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.