Finding the Fourth Proportional to 268,188,920,679.11, 401,952,124,492.99 and 230,148,102,864.20
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Solution
The fourth proportional to 268,188,920,679.11, 401,952,124,492.99 and 230,148,102,864.20 is: 344,937,884,309.49
Step by Step Solution
- Step 1: Write the proportion equation
268,188,920,679.11 : 401,952,124,492.99 = 230,148,102,864.20 : x - Step 2: Convert to fraction form
268,188,920,679.11/401,952,124,492.99 = 230,148,102,864.20/x - Step 3: Cross multiply
268,188,920,679.11x = 401,952,124,492.99 × 230,148,102,864.20 - Step 4: Simplify right side
268,188,920,679.11x = 92,508,518,894,296,385,978,368 - Step 5: Solve for x
x = 92,508,518,894,296,385,978,368/268,188,920,679.11 - Step 6: Final answer
x = 344,937,884,309.49
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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.