Finding the Fourth Proportional to 997,207,983.36, 1,502,618,648.40 and 819,437,425.92
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Solution
The fourth proportional to 997,207,983.36, 1,502,618,648.40 and 819,437,425.92 is: 1,234,749,398.25
Step by Step Solution
- Step 1: Write the proportion equation
997,207,983.36 : 1,502,618,648.40 = 819,437,425.92 : x - Step 2: Convert to fraction form
997,207,983.36/1,502,618,648.40 = 819,437,425.92/x - Step 3: Cross multiply
997,207,983.36x = 1,502,618,648.40 × 819,437,425.92 - Step 4: Simplify right side
997,207,983.36x = 1,231,301,957,384,285,440 - Step 5: Solve for x
x = 1,231,301,957,384,285,440/997,207,983.36 - Step 6: Final answer
x = 1,234,749,398.25
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.