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Finding the Fourth Proportional to 306,010.69, 422,286.30 and 170,041.12

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Solution

The fourth proportional to 306,010.69, 422,286.30 and 170,041.12 is: 234,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,010.69 : 422,286.30 = 170,041.12 : x
  2. Step 2: Convert to fraction form
    306,010.69/422,286.30 = 170,041.12/x
  3. Step 3: Cross multiply
    306,010.69x = 422,286.30 × 170,041.12
  4. Step 4: Simplify right side
    306,010.69x = 71,806,035,412.66
  5. Step 5: Solve for x
    x = 71,806,035,412.66/306,010.69
  6. Step 6: Final answer
    x = 234,652.05

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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.