Finding the Fourth Proportional to 1,727,285,697,728.50, 2,383,729,191,273.20 and 956,534,389,431.14
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Solution
The fourth proportional to 1,727,285,697,728.50, 2,383,729,191,273.20 and 956,534,389,431.14 is: 1,320,058,951,186.95
Step by Step Solution
- Step 1: Write the proportion equation
1,727,285,697,728.50 : 2,383,729,191,273.20 = 956,534,389,431.14 : x - Step 2: Convert to fraction form
1,727,285,697,728.50/2,383,729,191,273.20 = 956,534,389,431.14/x - Step 3: Cross multiply
1,727,285,697,728.50x = 2,383,729,191,273.20 × 956,534,389,431.14 - Step 4: Simplify right side
1,727,285,697,728.50x = 2,280,118,946,543,695,638,298,624 - Step 5: Solve for x
x = 2,280,118,946,543,695,638,298,624/1,727,285,697,728.50 - Step 6: Final answer
x = 1,320,058,951,186.95
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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.