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Finding the Fourth Proportional to 306,194.21, 422,524.07 and 170,219.87

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Solution

The fourth proportional to 306,194.21, 422,524.07 and 170,219.87 is: 234,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,194.21 : 422,524.07 = 170,219.87 : x
  2. Step 2: Convert to fraction form
    306,194.21/422,524.07 = 170,219.87/x
  3. Step 3: Cross multiply
    306,194.21x = 422,524.07 × 170,219.87
  4. Step 4: Simplify right side
    306,194.21x = 71,921,989,303.55
  5. Step 5: Solve for x
    x = 71,921,989,303.55/306,194.21
  6. Step 6: Final answer
    x = 234,890.11

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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.