Finding the Fourth Proportional to 930,165,825.92, 1,283,628,138.06 and 512,478,111.21
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Solution
The fourth proportional to 930,165,825.92, 1,283,628,138.06 and 512,478,111.21 is: 707,219,406.87
Step by Step Solution
- Step 1: Write the proportion equation
930,165,825.92 : 1,283,628,138.06 = 512,478,111.21 : x - Step 2: Convert to fraction form
930,165,825.92/1,283,628,138.06 = 512,478,111.21/x - Step 3: Cross multiply
930,165,825.92x = 1,283,628,138.06 × 512,478,111.21 - Step 4: Simplify right side
930,165,825.92x = 657,831,323,693,371,392 - Step 5: Solve for x
x = 657,831,323,693,371,392/930,165,825.92 - Step 6: Final answer
x = 707,219,406.87
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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.