Finding the Fourth Proportional to 278,462,421.36, 384,255,645.08 and 160,995,321.63
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Solution
The fourth proportional to 278,462,421.36, 384,255,645.08 and 160,995,321.63 is: 222,160,537.37
Step by Step Solution
- Step 1: Write the proportion equation
278,462,421.36 : 384,255,645.08 = 160,995,321.63 : x - Step 2: Convert to fraction form
278,462,421.36/384,255,645.08 = 160,995,321.63/x - Step 3: Cross multiply
278,462,421.36x = 384,255,645.08 × 160,995,321.63 - Step 4: Simplify right side
278,462,421.36x = 61,863,361,166,992,744 - Step 5: Solve for x
x = 61,863,361,166,992,744/278,462,421.36 - Step 6: Final answer
x = 222,160,537.37
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.