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Finding the Fourth Proportional to 490,399.20, 735,526.80 and 153,361.44

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Solution

The fourth proportional to 490,399.20, 735,526.80 and 153,361.44 is: 230,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,399.20 : 735,526.80 = 153,361.44 : x
  2. Step 2: Convert to fraction form
    490,399.20/735,526.80 = 153,361.44/x
  3. Step 3: Cross multiply
    490,399.20x = 735,526.80 × 153,361.44
  4. Step 4: Simplify right side
    490,399.20x = 112,801,449,206.59
  5. Step 5: Solve for x
    x = 112,801,449,206.59/490,399.20
  6. Step 6: Final answer
    x = 230,019.64

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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.