Finding the Fourth Proportional to 1,787,468,493.84, 2,681,303,590.35 and 543,939,484.74
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Solution
The fourth proportional to 1,787,468,493.84, 2,681,303,590.35 and 543,939,484.74 is: 815,939,916.36
Step by Step Solution
- Step 1: Write the proportion equation
1,787,468,493.84 : 2,681,303,590.35 = 543,939,484.74 : x - Step 2: Convert to fraction form
1,787,468,493.84/2,681,303,590.35 = 543,939,484.74/x - Step 3: Cross multiply
1,787,468,493.84x = 2,681,303,590.35 × 543,939,484.74 - Step 4: Simplify right side
1,787,468,493.84x = 1,458,466,893,366,491,136 - Step 5: Solve for x
x = 1,458,466,893,366,491,136/1,787,468,493.84 - Step 6: Final answer
x = 815,939,916.36
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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.