Finding the Fourth Proportional to 1,657,415,205.24, 2,287,233,207.18 and 914,859,408.12
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Solution
The fourth proportional to 1,657,415,205.24, 2,287,233,207.18 and 914,859,408.12 is: 1,262,506,106.82
Step by Step Solution
- Step 1: Write the proportion equation
1,657,415,205.24 : 2,287,233,207.18 = 914,859,408.12 : x - Step 2: Convert to fraction form
1,657,415,205.24/2,287,233,207.18 = 914,859,408.12/x - Step 3: Cross multiply
1,657,415,205.24x = 2,287,233,207.18 × 914,859,408.12 - Step 4: Simplify right side
1,657,415,205.24x = 2,092,496,818,153,103,872 - Step 5: Solve for x
x = 2,092,496,818,153,103,872/1,657,415,205.24 - Step 6: Final answer
x = 1,262,506,106.82
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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.