Finding the Fourth Proportional to 278,137,875.20, 417,206,812.80 and 202,640,403.20
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Solution
The fourth proportional to 278,137,875.20, 417,206,812.80 and 202,640,403.20 is: 303,960,604.80
Step by Step Solution
- Step 1: Write the proportion equation
278,137,875.20 : 417,206,812.80 = 202,640,403.20 : x - Step 2: Convert to fraction form
278,137,875.20/417,206,812.80 = 202,640,403.20/x - Step 3: Cross multiply
278,137,875.20x = 417,206,812.80 × 202,640,403.20 - Step 4: Simplify right side
278,137,875.20x = 84,542,956,763,578,912 - Step 5: Solve for x
x = 84,542,956,763,578,912/278,137,875.20 - Step 6: Final answer
x = 303,960,604.80
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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.