Finding the Fourth Proportional to 231,291,765.20, 346,256,000.40 and 202,593,951.20
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Solution
The fourth proportional to 231,291,765.20, 346,256,000.40 and 202,593,951.20 is: 303,293,855.65
Step by Step Solution
- Step 1: Write the proportion equation
231,291,765.20 : 346,256,000.40 = 202,593,951.20 : x - Step 2: Convert to fraction form
231,291,765.20/346,256,000.40 = 202,593,951.20/x - Step 3: Cross multiply
231,291,765.20x = 346,256,000.40 × 202,593,951.20 - Step 4: Simplify right side
231,291,765.20x = 70,149,371,247,744,768 - Step 5: Solve for x
x = 70,149,371,247,744,768/231,291,765.20 - Step 6: Final answer
x = 303,293,855.65
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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.