Finding the Fourth Proportional to 1,242,457,361,240, 1,862,038,514,923.70 and 638,058,150,414.99
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Solution
The fourth proportional to 1,242,457,361,240, 1,862,038,514,923.70 and 638,058,150,414.99 is: 956,241,145,891.68
Step by Step Solution
- Step 1: Write the proportion equation
1,242,457,361,240 : 1,862,038,514,923.70 = 638,058,150,414.99 : x - Step 2: Convert to fraction form
1,242,457,361,240/1,862,038,514,923.70 = 638,058,150,414.99/x - Step 3: Cross multiply
1,242,457,361,240x = 1,862,038,514,923.70 × 638,058,150,414.99 - Step 4: Simplify right side
1,242,457,361,240x = 1,188,088,850,833,690,666,729,472 - Step 5: Solve for x
x = 1,188,088,850,833,690,666,729,472/1,242,457,361,240 - Step 6: Final answer
x = 956,241,145,891.68
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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.