Finding the Fourth Proportional to 378,842,460.96, 522,804,170.68 and 205,002,204.96
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Solution
The fourth proportional to 378,842,460.96, 522,804,170.68 and 205,002,204.96 is: 282,903,894.88
Step by Step Solution
- Step 1: Write the proportion equation
378,842,460.96 : 522,804,170.68 = 205,002,204.96 : x - Step 2: Convert to fraction form
378,842,460.96/522,804,170.68 = 205,002,204.96/x - Step 3: Cross multiply
378,842,460.96x = 522,804,170.68 × 205,002,204.96 - Step 4: Simplify right side
378,842,460.96x = 107,176,007,751,684,192 - Step 5: Solve for x
x = 107,176,007,751,684,192/378,842,460.96 - Step 6: Final answer
x = 282,903,894.88
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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.