Finding the Fourth Proportional to 256,014,633.72, 353,301,124.74 and 138,539,950.58
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Solution
The fourth proportional to 256,014,633.72, 353,301,124.74 and 138,539,950.58 is: 191,185,635.17
Step by Step Solution
- Step 1: Write the proportion equation
256,014,633.72 : 353,301,124.74 = 138,539,950.58 : x - Step 2: Convert to fraction form
256,014,633.72/353,301,124.74 = 138,539,950.58/x - Step 3: Cross multiply
256,014,633.72x = 353,301,124.74 × 138,539,950.58 - Step 4: Simplify right side
256,014,633.72x = 48,946,320,361,338,024 - Step 5: Solve for x
x = 48,946,320,361,338,024/256,014,633.72 - Step 6: Final answer
x = 191,185,635.17
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1.5x scale
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.