Finding the Fourth Proportional to 1,600,679,216.40, 2,209,169,302.20 and 922,364,195.28
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Solution
The fourth proportional to 1,600,679,216.40, 2,209,169,302.20 and 922,364,195.28 is: 1,272,996,266.07
Step by Step Solution
- Step 1: Write the proportion equation
1,600,679,216.40 : 2,209,169,302.20 = 922,364,195.28 : x - Step 2: Convert to fraction form
1,600,679,216.40/2,209,169,302.20 = 922,364,195.28/x - Step 3: Cross multiply
1,600,679,216.40x = 2,209,169,302.20 × 922,364,195.28 - Step 4: Simplify right side
1,600,679,216.40x = 2,037,658,665,660,982,016 - Step 5: Solve for x
x = 2,037,658,665,660,982,016/1,600,679,216.40 - Step 6: Final answer
x = 1,272,996,266.07
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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.