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Finding the Fourth Proportional to 490,342.40, 735,513.60 and 322,380.80

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Solution

The fourth proportional to 490,342.40, 735,513.60 and 322,380.80 is: 483,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,342.40 : 735,513.60 = 322,380.80 : x
  2. Step 2: Convert to fraction form
    490,342.40/735,513.60 = 322,380.80/x
  3. Step 3: Cross multiply
    490,342.40x = 735,513.60 × 322,380.80
  4. Step 4: Simplify right side
    490,342.40x = 237,115,462,778.88
  5. Step 5: Solve for x
    x = 237,115,462,778.88/490,342.40
  6. Step 6: Final answer
    x = 483,571.20

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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.