Finding the Fourth Proportional to 932,826,299.72, 1,287,300,782.30 and 509,445,757
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Solution
The fourth proportional to 932,826,299.72, 1,287,300,782.30 and 509,445,757 is: 703,035,411.55
Step by Step Solution
- Step 1: Write the proportion equation
932,826,299.72 : 1,287,300,782.30 = 509,445,757 : x - Step 2: Convert to fraction form
932,826,299.72/1,287,300,782.30 = 509,445,757/x - Step 3: Cross multiply
932,826,299.72x = 1,287,300,782.30 × 509,445,757 - Step 4: Simplify right side
932,826,299.72x = 655,809,921,525,515,648 - Step 5: Solve for x
x = 655,809,921,525,515,648/932,826,299.72 - Step 6: Final answer
x = 703,035,411.55
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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.