Finding the Fourth Proportional to 284,908,832, 393,174,214.08 and 161,146,845.44
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Solution
The fourth proportional to 284,908,832, 393,174,214.08 and 161,146,845.44 is: 222,382,661.37
Step by Step Solution
- Step 1: Write the proportion equation
284,908,832 : 393,174,214.08 = 161,146,845.44 : x - Step 2: Convert to fraction form
284,908,832/393,174,214.08 = 161,146,845.44/x - Step 3: Cross multiply
284,908,832x = 393,174,214.08 × 161,146,845.44 - Step 4: Simplify right side
284,908,832x = 63,358,784,307,343,232 - Step 5: Solve for x
x = 63,358,784,307,343,232/284,908,832 - Step 6: Final answer
x = 222,382,661.37
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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.