Finding the Fourth Proportional to 1,010,190,624.23, 1,516,102,068.05 and 428,333,440.41
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Solution
The fourth proportional to 1,010,190,624.23, 1,516,102,068.05 and 428,333,440.41 is: 642,846,210.65
Step by Step Solution
- Step 1: Write the proportion equation
1,010,190,624.23 : 1,516,102,068.05 = 428,333,440.41 : x - Step 2: Convert to fraction form
1,010,190,624.23/1,516,102,068.05 = 428,333,440.41/x - Step 3: Cross multiply
1,010,190,624.23x = 1,516,102,068.05 × 428,333,440.41 - Step 4: Simplify right side
1,010,190,624.23x = 649,397,214,818,430,848 - Step 5: Solve for x
x = 649,397,214,818,430,848/1,010,190,624.23 - Step 6: Final answer
x = 642,846,210.65
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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.