Finding the Fourth Proportional to 912,063,140,729.77, 1,258,563,941,987.20 and 541,202,644,586.28
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Solution
The fourth proportional to 912,063,140,729.77, 1,258,563,941,987.20 and 541,202,644,586.28 is: 746,810,284,690.82
Step by Step Solution
- Step 1: Write the proportion equation
912,063,140,729.77 : 1,258,563,941,987.20 = 541,202,644,586.28 : x - Step 2: Convert to fraction form
912,063,140,729.77/1,258,563,941,987.20 = 541,202,644,586.28/x - Step 3: Cross multiply
912,063,140,729.77x = 1,258,563,941,987.20 × 541,202,644,586.28 - Step 4: Simplify right side
912,063,140,729.77x = 681,138,133,784,406,140,125,184 - Step 5: Solve for x
x = 681,138,133,784,406,140,125,184/912,063,140,729.77 - Step 6: Final answer
x = 746,810,284,690.82
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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.