Finding the Fourth Proportional to 1,600,678,121.12, 2,209,167,797.28 and 922,363,105.44
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Solution
The fourth proportional to 1,600,678,121.12, 2,209,167,797.28 and 922,363,105.44 is: 1,272,994,765.81
Step by Step Solution
- Step 1: Write the proportion equation
1,600,678,121.12 : 2,209,167,797.28 = 922,363,105.44 : x - Step 2: Convert to fraction form
1,600,678,121.12/2,209,167,797.28 = 922,363,105.44/x - Step 3: Cross multiply
1,600,678,121.12x = 2,209,167,797.28 × 922,363,105.44 - Step 4: Simplify right side
1,600,678,121.12x = 2,037,654,869,937,225,472 - Step 5: Solve for x
x = 2,037,654,869,937,225,472/1,600,678,121.12 - Step 6: Final answer
x = 1,272,994,765.81
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.