Finding the Fourth Proportional to 328,172,609,220.75, 492,822,252,418.23 and 201,431,537,467.74
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Solution
The fourth proportional to 328,172,609,220.75, 492,822,252,418.23 and 201,431,537,467.74 is: 302,493,082,035.81
Step by Step Solution
- Step 1: Write the proportion equation
328,172,609,220.75 : 492,822,252,418.23 = 201,431,537,467.74 : x - Step 2: Convert to fraction form
328,172,609,220.75/492,822,252,418.23 = 201,431,537,467.74/x - Step 3: Cross multiply
328,172,609,220.75x = 492,822,252,418.23 × 201,431,537,467.74 - Step 4: Simplify right side
328,172,609,220.75x = 99,269,944,002,918,700,023,808 - Step 5: Solve for x
x = 99,269,944,002,918,700,023,808/328,172,609,220.75 - Step 6: Final answer
x = 302,493,082,035.81
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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.