Finding the Fourth Proportional to 1,002,236,727.13, 1,383,118,135.74 and 578,842,522.99
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Solution
The fourth proportional to 1,002,236,727.13, 1,383,118,135.74 and 578,842,522.99 is: 798,820,847.02
Step by Step Solution
- Step 1: Write the proportion equation
1,002,236,727.13 : 1,383,118,135.74 = 578,842,522.99 : x - Step 2: Convert to fraction form
1,002,236,727.13/1,383,118,135.74 = 578,842,522.99/x - Step 3: Cross multiply
1,002,236,727.13x = 1,383,118,135.74 × 578,842,522.99 - Step 4: Simplify right side
1,002,236,727.13x = 800,607,591,281,508,992 - Step 5: Solve for x
x = 800,607,591,281,508,992/1,002,236,727.13 - Step 6: Final answer
x = 798,820,847.02
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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.