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Finding the Fourth Proportional to 490,858.40, 735,380.40 and 279,869.60

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Solution

The fourth proportional to 490,858.40, 735,380.40 and 279,869.60 is: 419,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,858.40 : 735,380.40 = 279,869.60 : x
  2. Step 2: Convert to fraction form
    490,858.40/735,380.40 = 279,869.60/x
  3. Step 3: Cross multiply
    490,858.40x = 735,380.40 × 279,869.60
  4. Step 4: Simplify right side
    490,858.40x = 205,810,618,395.84
  5. Step 5: Solve for x
    x = 205,810,618,395.84/490,858.40
  6. Step 6: Final answer
    x = 419,287.15

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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.