Finding the Fourth Proportional to 278,221,286.35, 419,331,742.65 and 239,823,194.23
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Solution
The fourth proportional to 278,221,286.35, 419,331,742.65 and 239,823,194.23 is: 361,458,604.71
Step by Step Solution
- Step 1: Write the proportion equation
278,221,286.35 : 419,331,742.65 = 239,823,194.23 : x - Step 2: Convert to fraction form
278,221,286.35/419,331,742.65 = 239,823,194.23/x - Step 3: Cross multiply
278,221,286.35x = 419,331,742.65 × 239,823,194.23 - Step 4: Simplify right side
278,221,286.35x = 100,565,477,964,355,312 - Step 5: Solve for x
x = 100,565,477,964,355,312/278,221,286.35 - Step 6: Final answer
x = 361,458,604.71
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.