Finding the Fourth Proportional to 1,538,191,201.23, 2,304,512,674.97 and 946,952,459.91
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Solution
The fourth proportional to 1,538,191,201.23, 2,304,512,674.97 and 946,952,459.91 is: 1,418,720,861.69
Step by Step Solution
- Step 1: Write the proportion equation
1,538,191,201.23 : 2,304,512,674.97 = 946,952,459.91 : x - Step 2: Convert to fraction form
1,538,191,201.23/2,304,512,674.97 = 946,952,459.91/x - Step 3: Cross multiply
1,538,191,201.23x = 2,304,512,674.97 × 946,952,459.91 - Step 4: Simplify right side
1,538,191,201.23x = 2,182,263,946,451,881,216 - Step 5: Solve for x
x = 2,182,263,946,451,881,216/1,538,191,201.23 - Step 6: Final answer
x = 1,418,720,861.69
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.