Finding the Fourth Proportional to 2,478,084,719.28, 3,716,036,296.44 and 1,313,280,307.48
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Solution
The fourth proportional to 2,478,084,719.28, 3,716,036,296.44 and 1,313,280,307.48 is: 1,969,342,392.54
Step by Step Solution
- Step 1: Write the proportion equation
2,478,084,719.28 : 3,716,036,296.44 = 1,313,280,307.48 : x - Step 2: Convert to fraction form
2,478,084,719.28/3,716,036,296.44 = 1,313,280,307.48/x - Step 3: Cross multiply
2,478,084,719.28x = 3,716,036,296.44 × 1,313,280,307.48 - Step 4: Simplify right side
2,478,084,719.28x = 4,880,197,289,995,564,032 - Step 5: Solve for x
x = 4,880,197,289,995,564,032/2,478,084,719.28 - Step 6: Final answer
x = 1,969,342,392.54
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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.