Finding the Fourth Proportional to 1,284,284,767.68, 1,927,233,367.20 and 1,201,647,660.48
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Solution
The fourth proportional to 1,284,284,767.68, 1,927,233,367.20 and 1,201,647,660.48 is: 1,803,225,830.58
Step by Step Solution
- Step 1: Write the proportion equation
1,284,284,767.68 : 1,927,233,367.20 = 1,201,647,660.48 : x - Step 2: Convert to fraction form
1,284,284,767.68/1,927,233,367.20 = 1,201,647,660.48/x - Step 3: Cross multiply
1,284,284,767.68x = 1,927,233,367.20 × 1,201,647,660.48 - Step 4: Simplify right side
1,284,284,767.68x = 2,315,855,466,894,873,088 - Step 5: Solve for x
x = 2,315,855,466,894,873,088/1,284,284,767.68 - Step 6: Final answer
x = 1,803,225,830.58
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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.