Finding the Fourth Proportional to 1,098,135,787.98, 1,647,202,290.93 and 280,248,107.34
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Solution
The fourth proportional to 1,098,135,787.98, 1,647,202,290.93 and 280,248,107.34 is: 420,371,806.01
Step by Step Solution
- Step 1: Write the proportion equation
1,098,135,787.98 : 1,647,202,290.93 = 280,248,107.34 : x - Step 2: Convert to fraction form
1,098,135,787.98/1,647,202,290.93 = 280,248,107.34/x - Step 3: Cross multiply
1,098,135,787.98x = 1,647,202,290.93 × 280,248,107.34 - Step 4: Simplify right side
1,098,135,787.98x = 461,625,324,439,244,544 - Step 5: Solve for x
x = 461,625,324,439,244,544/1,098,135,787.98 - Step 6: Final answer
x = 420,371,806.01
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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.