Finding the Fourth Proportional to 854,936,316.36, 1,283,233,740.66 and 412,590,293.76
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Solution
The fourth proportional to 854,936,316.36, 1,283,233,740.66 and 412,590,293.76 is: 619,285,642.56
Step by Step Solution
- Step 1: Write the proportion equation
854,936,316.36 : 1,283,233,740.66 = 412,590,293.76 : x - Step 2: Convert to fraction form
854,936,316.36/1,283,233,740.66 = 412,590,293.76/x - Step 3: Cross multiply
854,936,316.36x = 1,283,233,740.66 × 412,590,293.76 - Step 4: Simplify right side
854,936,316.36x = 529,449,786,021,653,056 - Step 5: Solve for x
x = 529,449,786,021,653,056/854,936,316.36 - Step 6: Final answer
x = 619,285,642.56
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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.