Finding the Fourth Proportional to 278,375,107.70, 416,570,638.35 and 242,378,837.30
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Solution
The fourth proportional to 278,375,107.70, 416,570,638.35 and 242,378,837.30 is: 362,704,509.79
Step by Step Solution
- Step 1: Write the proportion equation
278,375,107.70 : 416,570,638.35 = 242,378,837.30 : x - Step 2: Convert to fraction form
278,375,107.70/416,570,638.35 = 242,378,837.30/x - Step 3: Cross multiply
278,375,107.70x = 416,570,638.35 × 242,378,837.30 - Step 4: Simplify right side
278,375,107.70x = 100,967,906,976,591,808 - Step 5: Solve for x
x = 100,967,906,976,591,808/278,375,107.70 - Step 6: Final answer
x = 362,704,509.79
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.