Finding the Fourth Proportional to 490,118,165.09, 735,394,349.22 and 256,893,450.09
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Solution
The fourth proportional to 490,118,165.09, 735,394,349.22 and 256,893,450.09 is: 385,453,968.05
Step by Step Solution
- Step 1: Write the proportion equation
490,118,165.09 : 735,394,349.22 = 256,893,450.09 : x - Step 2: Convert to fraction form
490,118,165.09/735,394,349.22 = 256,893,450.09/x - Step 3: Cross multiply
490,118,165.09x = 735,394,349.22 × 256,893,450.09 - Step 4: Simplify right side
490,118,165.09x = 188,917,991,547,816,096 - Step 5: Solve for x
x = 188,917,991,547,816,096/490,118,165.09 - Step 6: Final answer
x = 385,453,968.05
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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.