Finding the Fourth Proportional to 1,497,587,678,213.10, 2,066,674,959,181.60 and 812,475,382,866.56
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Solution
The fourth proportional to 1,497,587,678,213.10, 2,066,674,959,181.60 and 812,475,382,866.56 is: 1,121,218,178,507.79
Step by Step Solution
- Step 1: Write the proportion equation
1,497,587,678,213.10 : 2,066,674,959,181.60 = 812,475,382,866.56 : x - Step 2: Convert to fraction form
1,497,587,678,213.10/2,066,674,959,181.60 = 812,475,382,866.56/x - Step 3: Cross multiply
1,497,587,678,213.10x = 2,066,674,959,181.60 × 812,475,382,866.56 - Step 4: Simplify right side
1,497,587,678,213.10x = 1,679,122,528,721,802,901,848,064 - Step 5: Solve for x
x = 1,679,122,528,721,802,901,848,064/1,497,587,678,213.10 - Step 6: Final answer
x = 1,121,218,178,507.79
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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.