Finding the Fourth Proportional to 490,516,821.96, 735,777,889.74 and 145,473,438.48
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Solution
The fourth proportional to 490,516,821.96, 735,777,889.74 and 145,473,438.48 is: 218,210,945.65
Step by Step Solution
- Step 1: Write the proportion equation
490,516,821.96 : 735,777,889.74 = 145,473,438.48 : x - Step 2: Convert to fraction form
490,516,821.96/735,777,889.74 = 145,473,438.48/x - Step 3: Cross multiply
490,516,821.96x = 735,777,889.74 × 145,473,438.48 - Step 4: Simplify right side
490,516,821.96x = 107,036,139,578,036,112 - Step 5: Solve for x
x = 107,036,139,578,036,112/490,516,821.96 - Step 6: Final answer
x = 218,210,945.65
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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.