Finding the Fourth Proportional to 1,533,164,141.53, 2,299,745,949.68 and 484,638,396.13
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Solution
The fourth proportional to 1,533,164,141.53, 2,299,745,949.68 and 484,638,396.13 is: 726,957,511.18
Step by Step Solution
- Step 1: Write the proportion equation
1,533,164,141.53 : 2,299,745,949.68 = 484,638,396.13 : x - Step 2: Convert to fraction form
1,533,164,141.53/2,299,745,949.68 = 484,638,396.13/x - Step 3: Cross multiply
1,533,164,141.53x = 2,299,745,949.68 × 484,638,396.13 - Step 4: Simplify right side
1,533,164,141.53x = 1,114,545,188,556,955,776 - Step 5: Solve for x
x = 1,114,545,188,556,955,776/1,533,164,141.53 - Step 6: Final answer
x = 726,957,511.18
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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.