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Finding the Fourth Proportional to 298,003.80, 411,245.14 and 163,867.80

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Solution

The fourth proportional to 298,003.80, 411,245.14 and 163,867.80 is: 226,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,003.80 : 411,245.14 = 163,867.80 : x
  2. Step 2: Convert to fraction form
    298,003.80/411,245.14 = 163,867.80/x
  3. Step 3: Cross multiply
    298,003.80x = 411,245.14 × 163,867.80
  4. Step 4: Simplify right side
    298,003.80x = 67,389,836,352.49
  5. Step 5: Solve for x
    x = 67,389,836,352.49/298,003.80
  6. Step 6: Final answer
    x = 226,137.51

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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.