Finding the Fourth Proportional to 409,012,310.24, 613,531,062.48 and 178,862,927.84
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Solution
The fourth proportional to 409,012,310.24, 613,531,062.48 and 178,862,927.84 is: 268,299,900.54
Step by Step Solution
- Step 1: Write the proportion equation
409,012,310.24 : 613,531,062.48 = 178,862,927.84 : x - Step 2: Convert to fraction form
409,012,310.24/613,531,062.48 = 178,862,927.84/x - Step 3: Cross multiply
409,012,310.24x = 613,531,062.48 × 178,862,927.84 - Step 4: Simplify right side
409,012,310.24x = 109,737,962,155,958,784 - Step 5: Solve for x
x = 109,737,962,155,958,784/409,012,310.24 - Step 6: Final answer
x = 268,299,900.54
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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.