Finding the Fourth Proportional to 189,296,523.20, 283,748,829.60 and 102,852,286.40
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Solution
The fourth proportional to 189,296,523.20, 283,748,829.60 and 102,852,286.40 is: 154,171,959.39
Step by Step Solution
- Step 1: Write the proportion equation
189,296,523.20 : 283,748,829.60 = 102,852,286.40 : x - Step 2: Convert to fraction form
189,296,523.20/283,748,829.60 = 102,852,286.40/x - Step 3: Cross multiply
189,296,523.20x = 283,748,829.60 × 102,852,286.40 - Step 4: Simplify right side
189,296,523.20x = 29,184,215,887,684,000 - Step 5: Solve for x
x = 29,184,215,887,684,000/189,296,523.20 - Step 6: Final answer
x = 154,171,959.39
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.