Finding the Fourth Proportional to 231,708,512.12, 319,453,477.61 and 167,207,290.47
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Solution
The fourth proportional to 231,708,512.12, 319,453,477.61 and 167,207,290.47 is: 230,526,491.82
Step by Step Solution
- Step 1: Write the proportion equation
231,708,512.12 : 319,453,477.61 = 167,207,290.47 : x - Step 2: Convert to fraction form
231,708,512.12/319,453,477.61 = 167,207,290.47/x - Step 3: Cross multiply
231,708,512.12x = 319,453,477.61 × 167,207,290.47 - Step 4: Simplify right side
231,708,512.12x = 53,414,950,421,550,880 - Step 5: Solve for x
x = 53,414,950,421,550,880/231,708,512.12 - Step 6: Final answer
x = 230,526,491.82
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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.