Finding the Fourth Proportional to 291,634,160,936.12, 402,446,405,063.10 and 161,428,352,606.68
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Solution
The fourth proportional to 291,634,160,936.12, 402,446,405,063.10 and 161,428,352,606.68 is: 222,766,290,386.84
Step by Step Solution
- Step 1: Write the proportion equation
291,634,160,936.12 : 402,446,405,063.10 = 161,428,352,606.68 : x - Step 2: Convert to fraction form
291,634,160,936.12/402,446,405,063.10 = 161,428,352,606.68/x - Step 3: Cross multiply
291,634,160,936.12x = 402,446,405,063.10 × 161,428,352,606.68 - Step 4: Simplify right side
291,634,160,936.12x = 64,966,260,181,816,863,358,976 - Step 5: Solve for x
x = 64,966,260,181,816,863,358,976/291,634,160,936.12 - Step 6: Final answer
x = 222,766,290,386.84
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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.