Finding the Fourth Proportional to 820,399,906.63, 1,132,151,926.49 and 449,121,938.01
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Solution
The fourth proportional to 820,399,906.63, 1,132,151,926.49 and 449,121,938.01 is: 619,788,304.75
Step by Step Solution
- Step 1: Write the proportion equation
820,399,906.63 : 1,132,151,926.49 = 449,121,938.01 : x - Step 2: Convert to fraction form
820,399,906.63/1,132,151,926.49 = 449,121,938.01/x - Step 3: Cross multiply
820,399,906.63x = 1,132,151,926.49 × 449,121,938.01 - Step 4: Simplify right side
820,399,906.63x = 508,474,267,346,943,872 - Step 5: Solve for x
x = 508,474,267,346,943,872/820,399,906.63 - Step 6: Final answer
x = 619,788,304.75
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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.