Finding the Fourth Proportional to 1,296,391,491.84, 1,944,592,224.12 and 313,816,423.44
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Solution
The fourth proportional to 1,296,391,491.84, 1,944,592,224.12 and 313,816,423.44 is: 470,725,842.20
Step by Step Solution
- Step 1: Write the proportion equation
1,296,391,491.84 : 1,944,592,224.12 = 313,816,423.44 : x - Step 2: Convert to fraction form
1,296,391,491.84/1,944,592,224.12 = 313,816,423.44/x - Step 3: Cross multiply
1,296,391,491.84x = 1,944,592,224.12 × 313,816,423.44 - Step 4: Simplify right side
1,296,391,491.84x = 610,244,976,822,573,312 - Step 5: Solve for x
x = 610,244,976,822,573,312/1,296,391,491.84 - Step 6: Final answer
x = 470,725,842.20
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1.5x scale
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.