Finding the Fourth Proportional to 683,035,207.74, 1,024,974,476.82 and 268,439,151.06
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Solution
The fourth proportional to 683,035,207.74, 1,024,974,476.82 and 268,439,151.06 is: 402,824,444.92
Step by Step Solution
- Step 1: Write the proportion equation
683,035,207.74 : 1,024,974,476.82 = 268,439,151.06 : x - Step 2: Convert to fraction form
683,035,207.74/1,024,974,476.82 = 268,439,151.06/x - Step 3: Cross multiply
683,035,207.74x = 1,024,974,476.82 × 268,439,151.06 - Step 4: Simplify right side
683,035,207.74x = 275,143,278,415,728,480 - Step 5: Solve for x
x = 275,143,278,415,728,480/683,035,207.74 - Step 6: Final answer
x = 402,824,444.92
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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.