Finding the Fourth Proportional to 288,972,007,354.08, 398,691,402,743.49 and 166,992,303,241.08
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Solution
The fourth proportional to 288,972,007,354.08, 398,691,402,743.49 and 166,992,303,241.08 is: 230,397,387,747.57
Step by Step Solution
- Step 1: Write the proportion equation
288,972,007,354.08 : 398,691,402,743.49 = 166,992,303,241.08 : x - Step 2: Convert to fraction form
288,972,007,354.08/398,691,402,743.49 = 166,992,303,241.08/x - Step 3: Cross multiply
288,972,007,354.08x = 398,691,402,743.49 × 166,992,303,241.08 - Step 4: Simplify right side
288,972,007,354.08x = 66,578,395,626,552,432,787,456 - Step 5: Solve for x
x = 66,578,395,626,552,432,787,456/288,972,007,354.08 - Step 6: Final answer
x = 230,397,387,747.57
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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.