Finding the Fourth Proportional to 1,564,408,894.97, 2,346,614,185.10 and 581,707,745.21
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Solution
The fourth proportional to 1,564,408,894.97, 2,346,614,185.10 and 581,707,745.21 is: 872,561,931.14
Step by Step Solution
- Step 1: Write the proportion equation
1,564,408,894.97 : 2,346,614,185.10 = 581,707,745.21 : x - Step 2: Convert to fraction form
1,564,408,894.97/2,346,614,185.10 = 581,707,745.21/x - Step 3: Cross multiply
1,564,408,894.97x = 2,346,614,185.10 × 581,707,745.21 - Step 4: Simplify right side
1,564,408,894.97x = 1,365,043,646,477,680,896 - Step 5: Solve for x
x = 1,365,043,646,477,680,896/1,564,408,894.97 - Step 6: Final answer
x = 872,561,931.14
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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.