Finding the Fourth Proportional to 278,512,331.80, 417,768,497.70 and 181,657,209.55
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Solution
The fourth proportional to 278,512,331.80, 417,768,497.70 and 181,657,209.55 is: 272,485,814.33
Step by Step Solution
- Step 1: Write the proportion equation
278,512,331.80 : 417,768,497.70 = 181,657,209.55 : x - Step 2: Convert to fraction form
278,512,331.80/417,768,497.70 = 181,657,209.55/x - Step 3: Cross multiply
278,512,331.80x = 417,768,497.70 × 181,657,209.55 - Step 4: Simplify right side
278,512,331.80x = 75,890,659,530,077,600 - Step 5: Solve for x
x = 75,890,659,530,077,600/278,512,331.80 - Step 6: Final answer
x = 272,485,814.33
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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.