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Finding the Fourth Proportional to 403,496.20, 605,438.70 and 284,912.20

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Solution

The fourth proportional to 403,496.20, 605,438.70 and 284,912.20 is: 427,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,496.20 : 605,438.70 = 284,912.20 : x
  2. Step 2: Convert to fraction form
    403,496.20/605,438.70 = 284,912.20/x
  3. Step 3: Cross multiply
    403,496.20x = 605,438.70 × 284,912.20
  4. Step 4: Simplify right side
    403,496.20x = 172,496,871,982.14
  5. Step 5: Solve for x
    x = 172,496,871,982.14/403,496.20
  6. Step 6: Final answer
    x = 427,505.57

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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.