Finding the Fourth Proportional to 296,717,705.96, 409,544,844.52 and 201,509,309.30
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Solution
The fourth proportional to 296,717,705.96, 409,544,844.52 and 201,509,309.30 is: 278,133,380.95
Step by Step Solution
- Step 1: Write the proportion equation
296,717,705.96 : 409,544,844.52 = 201,509,309.30 : x - Step 2: Convert to fraction form
296,717,705.96/409,544,844.52 = 201,509,309.30/x - Step 3: Cross multiply
296,717,705.96x = 409,544,844.52 × 201,509,309.30 - Step 4: Simplify right side
296,717,705.96x = 82,527,098,746,601,088 - Step 5: Solve for x
x = 82,527,098,746,601,088/296,717,705.96 - Step 6: Final answer
x = 278,133,380.95
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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.