Finding the Fourth Proportional to 1,782,688,624.36, 2,460,014,269.77 and 989,683,528.12
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Solution
The fourth proportional to 1,782,688,624.36, 2,460,014,269.77 and 989,683,528.12 is: 1,365,709,955.44
Step by Step Solution
- Step 1: Write the proportion equation
1,782,688,624.36 : 2,460,014,269.77 = 989,683,528.12 : x - Step 2: Convert to fraction form
1,782,688,624.36/2,460,014,269.77 = 989,683,528.12/x - Step 3: Cross multiply
1,782,688,624.36x = 2,460,014,269.77 × 989,683,528.12 - Step 4: Simplify right side
1,782,688,624.36x = 2,434,635,601,731,518,976 - Step 5: Solve for x
x = 2,434,635,601,731,518,976/1,782,688,624.36 - Step 6: Final answer
x = 1,365,709,955.44
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.