Finding the Fourth Proportional to 282,898,215,466.56, 390,397,551,336.28 and 154,439,664,078.48
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Solution
The fourth proportional to 282,898,215,466.56, 390,397,551,336.28 and 154,439,664,078.48 is: 213,125,652,227.96
Step by Step Solution
- Step 1: Write the proportion equation
282,898,215,466.56 : 390,397,551,336.28 = 154,439,664,078.48 : x - Step 2: Convert to fraction form
282,898,215,466.56/390,397,551,336.28 = 154,439,664,078.48/x - Step 3: Cross multiply
282,898,215,466.56x = 390,397,551,336.28 × 154,439,664,078.48 - Step 4: Simplify right side
282,898,215,466.56x = 60,292,866,685,436,245,835,776 - Step 5: Solve for x
x = 60,292,866,685,436,245,835,776/282,898,215,466.56 - Step 6: Final answer
x = 213,125,652,227.96
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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.