Finding the Fourth Proportional to 378,358,403.44, 522,134,365.80 and 204,518,147.44
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Solution
The fourth proportional to 378,358,403.44, 522,134,365.80 and 204,518,147.44 is: 282,234,918.63
Step by Step Solution
- Step 1: Write the proportion equation
378,358,403.44 : 522,134,365.80 = 204,518,147.44 : x - Step 2: Convert to fraction form
378,358,403.44/522,134,365.80 = 204,518,147.44/x - Step 3: Cross multiply
378,358,403.44x = 522,134,365.80 × 204,518,147.44 - Step 4: Simplify right side
378,358,403.44x = 106,785,953,208,175,296 - Step 5: Solve for x
x = 106,785,953,208,175,296/378,358,403.44 - Step 6: Final answer
x = 282,234,918.63
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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.