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Finding the Fourth Proportional to 306,118.89, 422,419.77 and 170,142.17

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Solution

The fourth proportional to 306,118.89, 422,419.77 and 170,142.17 is: 234,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,118.89 : 422,419.77 = 170,142.17 : x
  2. Step 2: Convert to fraction form
    306,118.89/422,419.77 = 170,142.17/x
  3. Step 3: Cross multiply
    306,118.89x = 422,419.77 × 170,142.17
  4. Step 4: Simplify right side
    306,118.89x = 71,871,414,206.60
  5. Step 5: Solve for x
    x = 71,871,414,206.60/306,118.89
  6. Step 6: Final answer
    x = 234,782.68

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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.