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Finding the Fourth Proportional to 322,574.40, 483,938.40 and 135,489.60

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Solution

The fourth proportional to 322,574.40, 483,938.40 and 135,489.60 is: 203,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,574.40 : 483,938.40 = 135,489.60 : x
  2. Step 2: Convert to fraction form
    322,574.40/483,938.40 = 135,489.60/x
  3. Step 3: Cross multiply
    322,574.40x = 483,938.40 × 135,489.60
  4. Step 4: Simplify right side
    322,574.40x = 65,568,620,240.64
  5. Step 5: Solve for x
    x = 65,568,620,240.64/322,574.40
  6. Step 6: Final answer
    x = 203,266.66

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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.