Finding the Fourth Proportional to 1,548,286,867.20, 2,136,634,934.76 and 852,925,843.20
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Solution
The fourth proportional to 1,548,286,867.20, 2,136,634,934.76 and 852,925,843.20 is: 1,177,037,144.70
Step by Step Solution
- Step 1: Write the proportion equation
1,548,286,867.20 : 2,136,634,934.76 = 852,925,843.20 : x - Step 2: Convert to fraction form
1,548,286,867.20/2,136,634,934.76 = 852,925,843.20/x - Step 3: Cross multiply
1,548,286,867.20x = 2,136,634,934.76 × 852,925,843.20 - Step 4: Simplify right side
1,548,286,867.20x = 1,822,391,153,340,750,080 - Step 5: Solve for x
x = 1,822,391,153,340,750,080/1,548,286,867.20 - Step 6: Final answer
x = 1,177,037,144.70
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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.