Finding the Fourth Proportional to 300,155,836.41, 413,886,128.09 and 195,539,904.09
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Solution
The fourth proportional to 300,155,836.41, 413,886,128.09 and 195,539,904.09 is: 269,630,784.99
Step by Step Solution
- Step 1: Write the proportion equation
300,155,836.41 : 413,886,128.09 = 195,539,904.09 : x - Step 2: Convert to fraction form
300,155,836.41/413,886,128.09 = 195,539,904.09/x - Step 3: Cross multiply
300,155,836.41x = 413,886,128.09 × 195,539,904.09 - Step 4: Simplify right side
300,155,836.41x = 80,931,253,789,922,352 - Step 5: Solve for x
x = 80,931,253,789,922,352/300,155,836.41 - Step 6: Final answer
x = 269,630,784.99
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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.