Finding the Fourth Proportional to 208,215,358,247.40, 287,343,255,611.46 and 117,991,811,887.08
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Solution
The fourth proportional to 208,215,358,247.40, 287,343,255,611.46 and 117,991,811,887.08 is: 162,832,135,191.70
Step by Step Solution
- Step 1: Write the proportion equation
208,215,358,247.40 : 287,343,255,611.46 = 117,991,811,887.08 : x - Step 2: Convert to fraction form
208,215,358,247.40/287,343,255,611.46 = 117,991,811,887.08/x - Step 3: Cross multiply
208,215,358,247.40x = 287,343,255,611.46 × 117,991,811,887.08 - Step 4: Simplify right side
208,215,358,247.40x = 33,904,151,363,128,536,334,336 - Step 5: Solve for x
x = 33,904,151,363,128,536,334,336/208,215,358,247.40 - Step 6: Final answer
x = 162,832,135,191.70
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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.