Finding the Fourth Proportional to 317,103,043,421.05, 437,611,492,430.68 and 172,596,532,775.84
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Solution
The fourth proportional to 317,103,043,421.05, 437,611,492,430.68 and 172,596,532,775.84 is: 238,188,273,065.89
Step by Step Solution
- Step 1: Write the proportion equation
317,103,043,421.05 : 437,611,492,430.68 = 172,596,532,775.84 : x - Step 2: Convert to fraction form
317,103,043,421.05/437,611,492,430.68 = 172,596,532,775.84/x - Step 3: Cross multiply
317,103,043,421.05x = 437,611,492,430.68 × 172,596,532,775.84 - Step 4: Simplify right side
317,103,043,421.05x = 75,530,226,296,396,118,491,136 - Step 5: Solve for x
x = 75,530,226,296,396,118,491,136/317,103,043,421.05 - Step 6: Final answer
x = 238,188,273,065.89
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1.5x scale
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.