Finding the Fourth Proportional to 282,103,612.20, 423,155,418.30 and 261,696,277.80
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Solution
The fourth proportional to 282,103,612.20, 423,155,418.30 and 261,696,277.80 is: 392,544,416.70
Step by Step Solution
- Step 1: Write the proportion equation
282,103,612.20 : 423,155,418.30 = 261,696,277.80 : x - Step 2: Convert to fraction form
282,103,612.20/423,155,418.30 = 261,696,277.80/x - Step 3: Cross multiply
282,103,612.20x = 423,155,418.30 × 261,696,277.80 - Step 4: Simplify right side
282,103,612.20x = 110,738,197,900,012,016 - Step 5: Solve for x
x = 110,738,197,900,012,016/282,103,612.20 - Step 6: Final answer
x = 392,544,416.70
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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.