Finding the Fourth Proportional to 1,010,971,511.20, 1,516,457,266.80 and 827,305,501.60
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Solution
The fourth proportional to 1,010,971,511.20, 1,516,457,266.80 and 827,305,501.60 is: 1,240,958,252.40
Step by Step Solution
- Step 1: Write the proportion equation
1,010,971,511.20 : 1,516,457,266.80 = 827,305,501.60 : x - Step 2: Convert to fraction form
1,010,971,511.20/1,516,457,266.80 = 827,305,501.60/x - Step 3: Cross multiply
1,010,971,511.20x = 1,516,457,266.80 × 827,305,501.60 - Step 4: Simplify right side
1,010,971,511.20x = 1,254,573,439,764,939,008 - Step 5: Solve for x
x = 1,254,573,439,764,939,008/1,010,971,511.20 - Step 6: Final answer
x = 1,240,958,252.40
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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.