Finding the Fourth Proportional to 775,372,421, 1,163,068,762.09 and 257,802,861.48
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Solution
The fourth proportional to 775,372,421, 1,163,068,762.09 and 257,802,861.48 is: 386,707,660.53
Step by Step Solution
- Step 1: Write the proportion equation
775,372,421 : 1,163,068,762.09 = 257,802,861.48 : x - Step 2: Convert to fraction form
775,372,421/1,163,068,762.09 = 257,802,861.48/x - Step 3: Cross multiply
775,372,421x = 1,163,068,762.09 × 257,802,861.48 - Step 4: Simplify right side
775,372,421x = 299,842,454,964,803,328 - Step 5: Solve for x
x = 299,842,454,964,803,328/775,372,421 - Step 6: Final answer
x = 386,707,660.53
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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.