Finding the Fourth Proportional to 1,829,402,403.92, 2,744,162,811.76 and 870,893,921.68
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Solution
The fourth proportional to 1,829,402,403.92, 2,744,162,811.76 and 870,893,921.68 is: 1,306,369,067.70
Step by Step Solution
- Step 1: Write the proportion equation
1,829,402,403.92 : 2,744,162,811.76 = 870,893,921.68 : x - Step 2: Convert to fraction form
1,829,402,403.92/2,744,162,811.76 = 870,893,921.68/x - Step 3: Cross multiply
1,829,402,403.92x = 2,744,162,811.76 × 870,893,921.68 - Step 4: Simplify right side
1,829,402,403.92x = 2,389,874,712,862,082,048 - Step 5: Solve for x
x = 2,389,874,712,862,082,048/1,829,402,403.92 - Step 6: Final answer
x = 1,306,369,067.70
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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.