Finding the Fourth Proportional to 1,189,477,230.33, 1,641,382,342.17 and 687,718,206.63
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Solution
The fourth proportional to 1,189,477,230.33, 1,641,382,342.17 and 687,718,206.63 is: 948,995,484.71
Step by Step Solution
- Step 1: Write the proportion equation
1,189,477,230.33 : 1,641,382,342.17 = 687,718,206.63 : x - Step 2: Convert to fraction form
1,189,477,230.33/1,641,382,342.17 = 687,718,206.63/x - Step 3: Cross multiply
1,189,477,230.33x = 1,641,382,342.17 × 687,718,206.63 - Step 4: Simplify right side
1,189,477,230.33x = 1,128,808,520,751,301,504 - Step 5: Solve for x
x = 1,128,808,520,751,301,504/1,189,477,230.33 - Step 6: Final answer
x = 948,995,484.71
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.