Finding the Fourth Proportional to 1,163,911,991.17, 1,608,299,584.12 and 828,802,726.80
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Solution
The fourth proportional to 1,163,911,991.17, 1,608,299,584.12 and 828,802,726.80 is: 1,145,243,876.63
Step by Step Solution
- Step 1: Write the proportion equation
1,163,911,991.17 : 1,608,299,584.12 = 828,802,726.80 : x - Step 2: Convert to fraction form
1,163,911,991.17/1,608,299,584.12 = 828,802,726.80/x - Step 3: Cross multiply
1,163,911,991.17x = 1,608,299,584.12 × 828,802,726.80 - Step 4: Simplify right side
1,163,911,991.17x = 1,332,963,080,822,604,800 - Step 5: Solve for x
x = 1,332,963,080,822,604,800/1,163,911,991.17 - Step 6: Final answer
x = 1,145,243,876.63
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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.