Finding the Fourth Proportional to 873,593,698.56, 1,309,382,778.24 and 327,987,237.12
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Solution
The fourth proportional to 873,593,698.56, 1,309,382,778.24 and 327,987,237.12 is: 491,602,492.64
Step by Step Solution
- Step 1: Write the proportion equation
873,593,698.56 : 1,309,382,778.24 = 327,987,237.12 : x - Step 2: Convert to fraction form
873,593,698.56/1,309,382,778.24 = 327,987,237.12/x - Step 3: Cross multiply
873,593,698.56x = 1,309,382,778.24 × 327,987,237.12 - Step 4: Simplify right side
873,593,698.56x = 429,460,839,767,447,296 - Step 5: Solve for x
x = 429,460,839,767,447,296/873,593,698.56 - Step 6: Final answer
x = 491,602,492.64
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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.