Finding the Fourth Proportional to 258,717,573,332.08, 387,729,469,163.35 and 201,353,675,508.85
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Solution
The fourth proportional to 258,717,573,332.08, 387,729,469,163.35 and 201,353,675,508.85 is: 301,760,536,455.43
Step by Step Solution
- Step 1: Write the proportion equation
258,717,573,332.08 : 387,729,469,163.35 = 201,353,675,508.85 : x - Step 2: Convert to fraction form
258,717,573,332.08/387,729,469,163.35 = 201,353,675,508.85/x - Step 3: Cross multiply
258,717,573,332.08x = 387,729,469,163.35 × 201,353,675,508.85 - Step 4: Simplify right side
258,717,573,332.08x = 78,070,753,719,135,835,783,168 - Step 5: Solve for x
x = 78,070,753,719,135,835,783,168/258,717,573,332.08 - Step 6: Final answer
x = 301,760,536,455.43
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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.