Finding the Fourth Proportional to 2,524,421,207.20, 3,784,840,220.40 and 971,112,330.40
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Solution
The fourth proportional to 2,524,421,207.20, 3,784,840,220.40 and 971,112,330.40 is: 1,455,979,293.84
Step by Step Solution
- Step 1: Write the proportion equation
2,524,421,207.20 : 3,784,840,220.40 = 971,112,330.40 : x - Step 2: Convert to fraction form
2,524,421,207.20/3,784,840,220.40 = 971,112,330.40/x - Step 3: Cross multiply
2,524,421,207.20x = 3,784,840,220.40 × 971,112,330.40 - Step 4: Simplify right side
2,524,421,207.20x = 3,675,505,006,624,293,376 - Step 5: Solve for x
x = 3,675,505,006,624,293,376/2,524,421,207.20 - Step 6: Final answer
x = 1,455,979,293.84
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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.