Finding the Fourth Proportional to 1,625,193,972.86, 2,242,905,998.99 and 920,471,320.40
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Solution
The fourth proportional to 1,625,193,972.86, 2,242,905,998.99 and 920,471,320.40 is: 1,270,328,761.30
Step by Step Solution
- Step 1: Write the proportion equation
1,625,193,972.86 : 2,242,905,998.99 = 920,471,320.40 : x - Step 2: Convert to fraction form
1,625,193,972.86/2,242,905,998.99 = 920,471,320.40/x - Step 3: Cross multiply
1,625,193,972.86x = 2,242,905,998.99 × 920,471,320.40 - Step 4: Simplify right side
1,625,193,972.86x = 2,064,530,646,407,589,632 - Step 5: Solve for x
x = 2,064,530,646,407,589,632/1,625,193,972.86 - Step 6: Final answer
x = 1,270,328,761.30
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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.