Finding the Fourth Proportional to 1,098,135,803.48, 1,647,202,314.18 and 280,248,122.84
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Solution
The fourth proportional to 1,098,135,803.48, 1,647,202,314.18 and 280,248,122.84 is: 420,371,829.26
Step by Step Solution
- Step 1: Write the proportion equation
1,098,135,803.48 : 1,647,202,314.18 = 280,248,122.84 : x - Step 2: Convert to fraction form
1,098,135,803.48/1,647,202,314.18 = 280,248,122.84/x - Step 3: Cross multiply
1,098,135,803.48x = 1,647,202,314.18 × 280,248,122.84 - Step 4: Simplify right side
1,098,135,803.48x = 461,625,356,486,648,896 - Step 5: Solve for x
x = 461,625,356,486,648,896/1,098,135,803.48 - Step 6: Final answer
x = 420,371,829.26
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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.