Finding the Fourth Proportional to 200,205,251.20, 299,720,011.20 and 149,312,886.40
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Solution
The fourth proportional to 200,205,251.20, 299,720,011.20 and 149,312,886.40 is: 223,530,899.99
Step by Step Solution
- Step 1: Write the proportion equation
200,205,251.20 : 299,720,011.20 = 149,312,886.40 : x - Step 2: Convert to fraction form
200,205,251.20/299,720,011.20 = 149,312,886.40/x - Step 3: Cross multiply
200,205,251.20x = 299,720,011.20 × 149,312,886.40 - Step 4: Simplify right side
200,205,251.20x = 44,752,059,984,112,328 - Step 5: Solve for x
x = 44,752,059,984,112,328/200,205,251.20 - Step 6: Final answer
x = 223,530,899.99
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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.