Finding the Fourth Proportional to 496,415,174.42, 685,030,837.70 and 284,570,129.09
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Solution
The fourth proportional to 496,415,174.42, 685,030,837.70 and 284,570,129.09 is: 392,694,107.60
Step by Step Solution
- Step 1: Write the proportion equation
496,415,174.42 : 685,030,837.70 = 284,570,129.09 : x - Step 2: Convert to fraction form
496,415,174.42/685,030,837.70 = 284,570,129.09/x - Step 3: Cross multiply
496,415,174.42x = 685,030,837.70 × 284,570,129.09 - Step 4: Simplify right side
496,415,174.42x = 194,939,313,917,343,808 - Step 5: Solve for x
x = 194,939,313,917,343,808/496,415,174.42 - Step 6: Final answer
x = 392,694,107.60
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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.