Finding the Fourth Proportional to 1,580,702,171.88, 2,370,838,012.38 and 416,073,138.92
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Solution
The fourth proportional to 1,580,702,171.88, 2,370,838,012.38 and 416,073,138.92 is: 624,053,051.38
Step by Step Solution
- Step 1: Write the proportion equation
1,580,702,171.88 : 2,370,838,012.38 = 416,073,138.92 : x - Step 2: Convert to fraction form
1,580,702,171.88/2,370,838,012.38 = 416,073,138.92/x - Step 3: Cross multiply
1,580,702,171.88x = 2,370,838,012.38 × 416,073,138.92 - Step 4: Simplify right side
1,580,702,171.88x = 986,442,013,681,800,448 - Step 5: Solve for x
x = 986,442,013,681,800,448/1,580,702,171.88 - Step 6: Final answer
x = 624,053,051.38
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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.