Finding the Fourth Proportional to 829,129,257.46, 1,243,704,881.74 and 276,431,863.04
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Solution
The fourth proportional to 829,129,257.46, 1,243,704,881.74 and 276,431,863.04 is: 414,651,460.48
Step by Step Solution
- Step 1: Write the proportion equation
829,129,257.46 : 1,243,704,881.74 = 276,431,863.04 : x - Step 2: Convert to fraction form
829,129,257.46/1,243,704,881.74 = 276,431,863.04/x - Step 3: Cross multiply
829,129,257.46x = 1,243,704,881.74 × 276,431,863.04 - Step 4: Simplify right side
829,129,257.46x = 343,799,657,531,331,136 - Step 5: Solve for x
x = 343,799,657,531,331,136/829,129,257.46 - Step 6: Final answer
x = 414,651,460.48
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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.