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Finding the Fourth Proportional to 329,082.40, 493,040.40 and 308,087.20

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Solution

The fourth proportional to 329,082.40, 493,040.40 and 308,087.20 is: 461,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,082.40 : 493,040.40 = 308,087.20 : x
  2. Step 2: Convert to fraction form
    329,082.40/493,040.40 = 308,087.20/x
  3. Step 3: Cross multiply
    329,082.40x = 493,040.40 × 308,087.20
  4. Step 4: Simplify right side
    329,082.40x = 151,899,436,322.88
  5. Step 5: Solve for x
    x = 151,899,436,322.88/329,082.40
  6. Step 6: Final answer
    x = 461,584.81

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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.