Finding the Fourth Proportional to 278,316,115.09, 417,474,172.65 and 278,316,115.09
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Solution
The fourth proportional to 278,316,115.09, 417,474,172.65 and 278,316,115.09 is: 417,474,172.65
Step by Step Solution
- Step 1: Write the proportion equation
278,316,115.09 : 417,474,172.65 = 278,316,115.09 : x - Step 2: Convert to fraction form
278,316,115.09/417,474,172.65 = 278,316,115.09/x - Step 3: Cross multiply
278,316,115.09x = 417,474,172.65 × 278,316,115.09 - Step 4: Simplify right side
278,316,115.09x = 116,189,789,882,359,920 - Step 5: Solve for x
x = 116,189,789,882,359,920/278,316,115.09 - Step 6: Final answer
x = 417,474,172.65
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Double scale
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1.5x scale
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.