Finding the Fourth Proportional to 1,647,203,705.22, 2,470,803,471.27 and 420,372,184.26
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Solution
The fourth proportional to 1,647,203,705.22, 2,470,803,471.27 and 420,372,184.26 is: 630,557,743.89
Step by Step Solution
- Step 1: Write the proportion equation
1,647,203,705.22 : 2,470,803,471.27 = 420,372,184.26 : x - Step 2: Convert to fraction form
1,647,203,705.22/2,470,803,471.27 = 420,372,184.26/x - Step 3: Cross multiply
1,647,203,705.22x = 2,470,803,471.27 × 420,372,184.26 - Step 4: Simplify right side
1,647,203,705.22x = 1,038,657,052,094,960,000 - Step 5: Solve for x
x = 1,038,657,052,094,960,000/1,647,203,705.22 - Step 6: Final answer
x = 630,557,743.89
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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.