Finding the Fourth Proportional to 278,316,277.20, 417,474,415.80 and 278,316,277.20
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Solution
The fourth proportional to 278,316,277.20, 417,474,415.80 and 278,316,277.20 is: 417,474,415.80
Step by Step Solution
- Step 1: Write the proportion equation
278,316,277.20 : 417,474,415.80 = 278,316,277.20 : x - Step 2: Convert to fraction form
278,316,277.20/417,474,415.80 = 278,316,277.20/x - Step 3: Cross multiply
278,316,277.20x = 417,474,415.80 × 278,316,277.20 - Step 4: Simplify right side
278,316,277.20x = 116,189,925,231,700,864 - Step 5: Solve for x
x = 116,189,925,231,700,864/278,316,277.20 - Step 6: Final answer
x = 417,474,415.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.