Finding the Fourth Proportional to 683,035,208.74, 1,024,974,478.32 and 268,439,152.06
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Solution
The fourth proportional to 683,035,208.74, 1,024,974,478.32 and 268,439,152.06 is: 402,824,446.42
Step by Step Solution
- Step 1: Write the proportion equation
683,035,208.74 : 1,024,974,478.32 = 268,439,152.06 : x - Step 2: Convert to fraction form
683,035,208.74/1,024,974,478.32 = 268,439,152.06/x - Step 3: Cross multiply
683,035,208.74x = 1,024,974,478.32 × 268,439,152.06 - Step 4: Simplify right side
683,035,208.74x = 275,143,279,843,361,664 - Step 5: Solve for x
x = 275,143,279,843,361,664/683,035,208.74 - Step 6: Final answer
x = 402,824,446.42
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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.