Finding the Fourth Proportional to 460,335,460.23, 690,939,736.04 and 284,927,901.84
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Solution
The fourth proportional to 460,335,460.23, 690,939,736.04 and 284,927,901.84 is: 427,662,055.82
Step by Step Solution
- Step 1: Write the proportion equation
460,335,460.23 : 690,939,736.04 = 284,927,901.84 : x - Step 2: Convert to fraction form
460,335,460.23/690,939,736.04 = 284,927,901.84/x - Step 3: Cross multiply
460,335,460.23x = 690,939,736.04 × 284,927,901.84 - Step 4: Simplify right side
460,335,460.23x = 196,868,009,288,472,928 - Step 5: Solve for x
x = 196,868,009,288,472,928/460,335,460.23 - Step 6: Final answer
x = 427,662,055.82
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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.