Finding the Fourth Proportional to 313,664,912.20, 470,497,368.30 and 299,556,137.80
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Solution
The fourth proportional to 313,664,912.20, 470,497,368.30 and 299,556,137.80 is: 449,334,206.70
Step by Step Solution
- Step 1: Write the proportion equation
313,664,912.20 : 470,497,368.30 = 299,556,137.80 : x - Step 2: Convert to fraction form
313,664,912.20/470,497,368.30 = 299,556,137.80/x - Step 3: Cross multiply
313,664,912.20x = 470,497,368.30 × 299,556,137.80 - Step 4: Simplify right side
313,664,912.20x = 140,940,374,493,012,160 - Step 5: Solve for x
x = 140,940,374,493,012,160/313,664,912.20 - Step 6: Final answer
x = 449,334,206.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.