Finding the Fourth Proportional to 302,144,136,808.24, 416,995,471,748.84 and 171,964,644,360.15
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Solution
The fourth proportional to 302,144,136,808.24, 416,995,471,748.84 and 171,964,644,360.15 is: 237,332,018,938.34
Step by Step Solution
- Step 1: Write the proportion equation
302,144,136,808.24 : 416,995,471,748.84 = 171,964,644,360.15 : x - Step 2: Convert to fraction form
302,144,136,808.24/416,995,471,748.84 = 171,964,644,360.15/x - Step 3: Cross multiply
302,144,136,808.24x = 416,995,471,748.84 × 171,964,644,360.15 - Step 4: Simplify right side
302,144,136,808.24x = 71,708,477,999,082,251,485,184 - Step 5: Solve for x
x = 71,708,477,999,082,251,485,184/302,144,136,808.24 - Step 6: Final answer
x = 237,332,018,938.34
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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.