Finding the Fourth Proportional to 415,933,746.14, 574,006,504.84 and 230,294,778.23
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Solution
The fourth proportional to 415,933,746.14, 574,006,504.84 and 230,294,778.23 is: 317,816,724.33
Step by Step Solution
- Step 1: Write the proportion equation
415,933,746.14 : 574,006,504.84 = 230,294,778.23 : x - Step 2: Convert to fraction form
415,933,746.14/574,006,504.84 = 230,294,778.23/x - Step 3: Cross multiply
415,933,746.14x = 574,006,504.84 × 230,294,778.23 - Step 4: Simplify right side
415,933,746.14x = 132,190,700,735,564,480 - Step 5: Solve for x
x = 132,190,700,735,564,480/415,933,746.14 - Step 6: Final answer
x = 317,816,724.33
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.