Finding the Fourth Proportional to 557,371,546.95, 768,458,712.74 and 456,528,484.18
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Solution
The fourth proportional to 557,371,546.95, 768,458,712.74 and 456,528,484.18 is: 629,424,471.34
Step by Step Solution
- Step 1: Write the proportion equation
557,371,546.95 : 768,458,712.74 = 456,528,484.18 : x - Step 2: Convert to fraction form
557,371,546.95/768,458,712.74 = 456,528,484.18/x - Step 3: Cross multiply
557,371,546.95x = 768,458,712.74 × 456,528,484.18 - Step 4: Simplify right side
557,371,546.95x = 350,823,291,280,784,192 - Step 5: Solve for x
x = 350,823,291,280,784,192/557,371,546.95 - Step 6: Final answer
x = 629,424,471.34
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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.