Finding the Fourth Proportional to 209,317,887,406.08, 288,857,215,186.56 and 114,270,727,438.08
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Solution
The fourth proportional to 209,317,887,406.08, 288,857,215,186.56 and 114,270,727,438.08 is: 157,692,801,671.89
Step by Step Solution
- Step 1: Write the proportion equation
209,317,887,406.08 : 288,857,215,186.56 = 114,270,727,438.08 : x - Step 2: Convert to fraction form
209,317,887,406.08/288,857,215,186.56 = 114,270,727,438.08/x - Step 3: Cross multiply
209,317,887,406.08x = 288,857,215,186.56 × 114,270,727,438.08 - Step 4: Simplify right side
209,317,887,406.08x = 33,007,924,105,106,220,384,256 - Step 5: Solve for x
x = 33,007,924,105,106,220,384,256/209,317,887,406.08 - Step 6: Final answer
x = 157,692,801,671.89
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1.5x scale
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.