Finding the Fourth Proportional to 282,758,869.80, 424,138,304.70 and 78,286,945.05
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Solution
The fourth proportional to 282,758,869.80, 424,138,304.70 and 78,286,945.05 is: 117,430,417.58
Step by Step Solution
- Step 1: Write the proportion equation
282,758,869.80 : 424,138,304.70 = 78,286,945.05 : x - Step 2: Convert to fraction form
282,758,869.80/424,138,304.70 = 78,286,945.05/x - Step 3: Cross multiply
282,758,869.80x = 424,138,304.70 × 78,286,945.05 - Step 4: Simplify right side
282,758,869.80x = 33,204,492,153,649,056 - Step 5: Solve for x
x = 33,204,492,153,649,056/282,758,869.80 - Step 6: Final answer
x = 117,430,417.58
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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.