Finding the Fourth Proportional to 1,233,637,782.24, 1,850,462,973.04 and 415,757,169.12
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Solution
The fourth proportional to 1,233,637,782.24, 1,850,462,973.04 and 415,757,169.12 is: 623,637,876.78
Step by Step Solution
- Step 1: Write the proportion equation
1,233,637,782.24 : 1,850,462,973.04 = 415,757,169.12 : x - Step 2: Convert to fraction form
1,233,637,782.24/1,850,462,973.04 = 415,757,169.12/x - Step 3: Cross multiply
1,233,637,782.24x = 1,850,462,973.04 × 415,757,169.12 - Step 4: Simplify right side
1,233,637,782.24x = 769,343,247,232,489,216 - Step 5: Solve for x
x = 769,343,247,232,489,216/1,233,637,782.24 - Step 6: Final answer
x = 623,637,876.78
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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.