Finding the Fourth Proportional to 642,512,450.76, 886,340,846.73 and 419,624,600.68
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Solution
The fourth proportional to 642,512,450.76, 886,340,846.73 and 419,624,600.68 is: 578,868,819.48
Step by Step Solution
- Step 1: Write the proportion equation
642,512,450.76 : 886,340,846.73 = 419,624,600.68 : x - Step 2: Convert to fraction form
642,512,450.76/886,340,846.73 = 419,624,600.68/x - Step 3: Cross multiply
642,512,450.76x = 886,340,846.73 × 419,624,600.68 - Step 4: Simplify right side
642,512,450.76x = 371,930,423,875,449,344 - Step 5: Solve for x
x = 371,930,423,875,449,344/642,512,450.76 - Step 6: Final answer
x = 578,868,819.48
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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.