Finding the Fourth Proportional to 307,974.24, 461,977.74 and 97,628.64
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Solution
The fourth proportional to 307,974.24, 461,977.74 and 97,628.64 is: 146,448.15
Step by Step Solution
- Step 1: Write the proportion equation
307,974.24 : 461,977.74 = 97,628.64 : x - Step 2: Convert to fraction form
307,974.24/461,977.74 = 97,628.64/x - Step 3: Cross multiply
307,974.24x = 461,977.74 × 97,628.64 - Step 4: Simplify right side
307,974.24x = 45,102,258,466.47 - Step 5: Solve for x
x = 45,102,258,466.47/307,974.24 - Step 6: Final answer
x = 146,448.15
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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.