Finding the Fourth Proportional to 1,764,587,642.84, 2,646,884,782.02 and 728,311,848.92
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Solution
The fourth proportional to 1,764,587,642.84, 2,646,884,782.02 and 728,311,848.92 is: 1,092,469,142.74
Step by Step Solution
- Step 1: Write the proportion equation
1,764,587,642.84 : 2,646,884,782.02 = 728,311,848.92 : x - Step 2: Convert to fraction form
1,764,587,642.84/2,646,884,782.02 = 728,311,848.92/x - Step 3: Cross multiply
1,764,587,642.84x = 2,646,884,782.02 × 728,311,848.92 - Step 4: Simplify right side
1,764,587,642.84x = 1,927,757,549,471,197,184 - Step 5: Solve for x
x = 1,927,757,549,471,197,184/1,764,587,642.84 - Step 6: Final answer
x = 1,092,469,142.74
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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.