Finding the Fourth Proportional to 1,010,971,643.40, 1,516,457,465.10 and 827,305,633.80
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Solution
The fourth proportional to 1,010,971,643.40, 1,516,457,465.10 and 827,305,633.80 is: 1,240,958,450.70
Step by Step Solution
- Step 1: Write the proportion equation
1,010,971,643.40 : 1,516,457,465.10 = 827,305,633.80 : x - Step 2: Convert to fraction form
1,010,971,643.40/1,516,457,465.10 = 827,305,633.80/x - Step 3: Cross multiply
1,010,971,643.40x = 1,516,457,465.10 × 827,305,633.80 - Step 4: Simplify right side
1,010,971,643.40x = 1,254,573,804,295,296,768 - Step 5: Solve for x
x = 1,254,573,804,295,296,768/1,010,971,643.40 - Step 6: Final answer
x = 1,240,958,450.70
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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.