Finding the Fourth Proportional to 448,724,207,509.72, 673,127,688,896.93 and 146,538,393,930.26
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Solution
The fourth proportional to 448,724,207,509.72, 673,127,688,896.93 and 146,538,393,930.26 is: 219,821,103,453.19
Step by Step Solution
- Step 1: Write the proportion equation
448,724,207,509.72 : 673,127,688,896.93 = 146,538,393,930.26 : x - Step 2: Convert to fraction form
448,724,207,509.72/673,127,688,896.93 = 146,538,393,930.26/x - Step 3: Cross multiply
448,724,207,509.72x = 673,127,688,896.93 × 146,538,393,930.26 - Step 4: Simplify right side
448,724,207,509.72x = 98,639,050,440,943,847,079,936 - Step 5: Solve for x
x = 98,639,050,440,943,847,079,936/448,724,207,509.72 - Step 6: Final answer
x = 219,821,103,453.19
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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.