Finding the Fourth Proportional to 1,824,768,135.20, 2,737,152,202.80 and 1,097,382,432.80
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Solution
The fourth proportional to 1,824,768,135.20, 2,737,152,202.80 and 1,097,382,432.80 is: 1,646,073,649.20
Step by Step Solution
- Step 1: Write the proportion equation
1,824,768,135.20 : 2,737,152,202.80 = 1,097,382,432.80 : x - Step 2: Convert to fraction form
1,824,768,135.20/2,737,152,202.80 = 1,097,382,432.80/x - Step 3: Cross multiply
1,824,768,135.20x = 2,737,152,202.80 × 1,097,382,432.80 - Step 4: Simplify right side
1,824,768,135.20x = 3,003,702,743,252,542,976 - Step 5: Solve for x
x = 3,003,702,743,252,542,976/1,824,768,135.20 - Step 6: Final answer
x = 1,646,073,649.20
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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.