Finding the Fourth Proportional to 284,442,642.10, 392,562,701.94 and 160,691,290.84
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Solution
The fourth proportional to 284,442,642.10, 392,562,701.94 and 160,691,290.84 is: 221,771,977.80
Step by Step Solution
- Step 1: Write the proportion equation
284,442,642.10 : 392,562,701.94 = 160,691,290.84 : x - Step 2: Convert to fraction form
284,442,642.10/392,562,701.94 = 160,691,290.84/x - Step 3: Cross multiply
284,442,642.10x = 392,562,701.94 × 160,691,290.84 - Step 4: Simplify right side
284,442,642.10x = 63,081,407,310,376,776 - Step 5: Solve for x
x = 63,081,407,310,376,776/284,442,642.10 - Step 6: Final answer
x = 221,771,977.80
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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.