Finding the Fourth Proportional to 472,395,891.80, 708,593,837.70 and 278,207,350.40
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Solution
The fourth proportional to 472,395,891.80, 708,593,837.70 and 278,207,350.40 is: 417,311,025.60
Step by Step Solution
- Step 1: Write the proportion equation
472,395,891.80 : 708,593,837.70 = 278,207,350.40 : x - Step 2: Convert to fraction form
472,395,891.80/708,593,837.70 = 278,207,350.40/x - Step 3: Cross multiply
472,395,891.80x = 708,593,837.70 × 278,207,350.40 - Step 4: Simplify right side
472,395,891.80x = 197,136,014,096,284,640 - Step 5: Solve for x
x = 197,136,014,096,284,640/472,395,891.80 - Step 6: Final answer
x = 417,311,025.60
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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.