Finding the Fourth Proportional to 729,843,163.84, 1,006,931,161.16 and 553,447,403.20
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Solution
The fourth proportional to 729,843,163.84, 1,006,931,161.16 and 553,447,403.20 is: 763,566,015.21
Step by Step Solution
- Step 1: Write the proportion equation
729,843,163.84 : 1,006,931,161.16 = 553,447,403.20 : x - Step 2: Convert to fraction form
729,843,163.84/1,006,931,161.16 = 553,447,403.20/x - Step 3: Cross multiply
729,843,163.84x = 1,006,931,161.16 × 553,447,403.20 - Step 4: Simplify right side
729,843,163.84x = 557,283,436,345,162,752 - Step 5: Solve for x
x = 557,283,436,345,162,752/729,843,163.84 - Step 6: Final answer
x = 763,566,015.21
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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.