Finding the Fourth Proportional to 279,614,163,292.92, 385,972,479,078.84 and 183,276,458,114.40
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Solution
The fourth proportional to 279,614,163,292.92, 385,972,479,078.84 and 183,276,458,114.40 is: 252,990,292,273.21
Step by Step Solution
- Step 1: Write the proportion equation
279,614,163,292.92 : 385,972,479,078.84 = 183,276,458,114.40 : x - Step 2: Convert to fraction form
279,614,163,292.92/385,972,479,078.84 = 183,276,458,114.40/x - Step 3: Cross multiply
279,614,163,292.92x = 385,972,479,078.84 × 183,276,458,114.40 - Step 4: Simplify right side
279,614,163,292.92x = 70,739,668,895,204,154,277,888 - Step 5: Solve for x
x = 70,739,668,895,204,154,277,888/279,614,163,292.92 - Step 6: Final answer
x = 252,990,292,273.21
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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.