Finding the Fourth Proportional to 1,145,436,511.92, 1,580,657,889.78 and 700,145,444.13
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Solution
The fourth proportional to 1,145,436,511.92, 1,580,657,889.78 and 700,145,444.13 is: 966,173,514.41
Step by Step Solution
- Step 1: Write the proportion equation
1,145,436,511.92 : 1,580,657,889.78 = 700,145,444.13 : x - Step 2: Convert to fraction form
1,145,436,511.92/1,580,657,889.78 = 700,145,444.13/x - Step 3: Cross multiply
1,145,436,511.92x = 1,580,657,889.78 × 700,145,444.13 - Step 4: Simplify right side
1,145,436,511.92x = 1,106,690,420,257,606,656 - Step 5: Solve for x
x = 1,106,690,420,257,606,656/1,145,436,511.92 - Step 6: Final answer
x = 966,173,514.41
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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.