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Finding the Fourth Proportional to 306,016.80, 422,294.70 and 170,047.20

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Solution

The fourth proportional to 306,016.80, 422,294.70 and 170,047.20 is: 234,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,016.80 : 422,294.70 = 170,047.20 : x
  2. Step 2: Convert to fraction form
    306,016.80/422,294.70 = 170,047.20/x
  3. Step 3: Cross multiply
    306,016.80x = 422,294.70 × 170,047.20
  4. Step 4: Simplify right side
    306,016.80x = 71,810,031,309.84
  5. Step 5: Solve for x
    x = 71,810,031,309.84/306,016.80
  6. Step 6: Final answer
    x = 234,660.42

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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.