Finding the Fourth Proportional to 460,335,461.23, 690,939,737.54 and 284,927,902.84
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Solution
The fourth proportional to 460,335,461.23, 690,939,737.54 and 284,927,902.84 is: 427,662,057.32
Step by Step Solution
- Step 1: Write the proportion equation
460,335,461.23 : 690,939,737.54 = 284,927,902.84 : x - Step 2: Convert to fraction form
460,335,461.23/690,939,737.54 = 284,927,902.84/x - Step 3: Cross multiply
460,335,461.23x = 690,939,737.54 × 284,927,902.84 - Step 4: Simplify right side
460,335,461.23x = 196,868,010,406,092,192 - Step 5: Solve for x
x = 196,868,010,406,092,192/460,335,461.23 - Step 6: Final answer
x = 427,662,057.32
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1.5x scale
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.