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Finding the Fourth Proportional to 298,401.60, 411,942.60 and 196,492.80

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Solution

The fourth proportional to 298,401.60, 411,942.60 and 196,492.80 is: 271,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,401.60 : 411,942.60 = 196,492.80 : x
  2. Step 2: Convert to fraction form
    298,401.60/411,942.60 = 196,492.80/x
  3. Step 3: Cross multiply
    298,401.60x = 411,942.60 × 196,492.80
  4. Step 4: Simplify right side
    298,401.60x = 80,943,754,913.28
  5. Step 5: Solve for x
    x = 80,943,754,913.28/298,401.60
  6. Step 6: Final answer
    x = 271,257.78

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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.