Finding the Fourth Proportional to 1,232,643,409.20, 1,848,965,113.80 and 414,483,793.20
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Solution
The fourth proportional to 1,232,643,409.20, 1,848,965,113.80 and 414,483,793.20 is: 621,725,689.80
Step by Step Solution
- Step 1: Write the proportion equation
1,232,643,409.20 : 1,848,965,113.80 = 414,483,793.20 : x - Step 2: Convert to fraction form
1,232,643,409.20/1,848,965,113.80 = 414,483,793.20/x - Step 3: Cross multiply
1,232,643,409.20x = 1,848,965,113.80 × 414,483,793.20 - Step 4: Simplify right side
1,232,643,409.20x = 766,366,073,862,293,632 - Step 5: Solve for x
x = 766,366,073,862,293,632/1,232,643,409.20 - Step 6: Final answer
x = 621,725,689.80
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Double scale
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1.5x scale
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.