Finding the Fourth Proportional to 786,738,739.90, 1,180,821,946.65 and 398,831,424.70
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Solution
The fourth proportional to 786,738,739.90, 1,180,821,946.65 and 398,831,424.70 is: 598,609,011.37
Step by Step Solution
- Step 1: Write the proportion equation
786,738,739.90 : 1,180,821,946.65 = 398,831,424.70 : x - Step 2: Convert to fraction form
786,738,739.90/1,180,821,946.65 = 398,831,424.70/x - Step 3: Cross multiply
786,738,739.90x = 1,180,821,946.65 × 398,831,424.70 - Step 4: Simplify right side
786,738,739.90x = 470,948,899,299,446,912 - Step 5: Solve for x
x = 470,948,899,299,446,912/786,738,739.90 - Step 6: Final answer
x = 598,609,011.37
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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.