Finding the Fourth Proportional to 1,232,643,740.20, 1,848,965,610.30 and 414,484,124.20
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Solution
The fourth proportional to 1,232,643,740.20, 1,848,965,610.30 and 414,484,124.20 is: 621,726,186.30
Step by Step Solution
- Step 1: Write the proportion equation
1,232,643,740.20 : 1,848,965,610.30 = 414,484,124.20 : x - Step 2: Convert to fraction form
1,232,643,740.20/1,848,965,610.30 = 414,484,124.20/x - Step 3: Cross multiply
1,232,643,740.20x = 1,848,965,610.30 × 414,484,124.20 - Step 4: Simplify right side
1,232,643,740.20x = 766,366,891,661,113,984 - Step 5: Solve for x
x = 766,366,891,661,113,984/1,232,643,740.20 - Step 6: Final answer
x = 621,726,186.30
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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.