Finding the Fourth Proportional to 209,564,902,297.40, 314,347,353,446.10 and 115,201,388,031.80
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Solution
The fourth proportional to 209,564,902,297.40, 314,347,353,446.10 and 115,201,388,031.80 is: 172,802,082,047.70
Step by Step Solution
- Step 1: Write the proportion equation
209,564,902,297.40 : 314,347,353,446.10 = 115,201,388,031.80 : x - Step 2: Convert to fraction form
209,564,902,297.40/314,347,353,446.10 = 115,201,388,031.80/x - Step 3: Cross multiply
209,564,902,297.40x = 314,347,353,446.10 × 115,201,388,031.80 - Step 4: Simplify right side
209,564,902,297.40x = 36,213,251,441,113,545,310,208 - Step 5: Solve for x
x = 36,213,251,441,113,545,310,208/209,564,902,297.40 - Step 6: Final answer
x = 172,802,082,047.70
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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.