Finding the Fourth Proportional to 1,299,284,969.20, 1,949,405,750.70 and 425,914,829.80
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Solution
The fourth proportional to 1,299,284,969.20, 1,949,405,750.70 and 425,914,829.80 is: 639,029,033.82
Step by Step Solution
- Step 1: Write the proportion equation
1,299,284,969.20 : 1,949,405,750.70 = 425,914,829.80 : x - Step 2: Convert to fraction form
1,299,284,969.20/1,949,405,750.70 = 425,914,829.80/x - Step 3: Cross multiply
1,299,284,969.20x = 1,949,405,750.70 × 425,914,829.80 - Step 4: Simplify right side
1,299,284,969.20x = 830,280,818,520,531,712 - Step 5: Solve for x
x = 830,280,818,520,531,712/1,299,284,969.20 - Step 6: Final answer
x = 639,029,033.82
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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.