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Finding the Fourth Proportional to 490,190.40, 735,285.60 and 322,228.80

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Solution

The fourth proportional to 490,190.40, 735,285.60 and 322,228.80 is: 483,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,190.40 : 735,285.60 = 322,228.80 : x
  2. Step 2: Convert to fraction form
    490,190.40/735,285.60 = 322,228.80/x
  3. Step 3: Cross multiply
    490,190.40x = 735,285.60 × 322,228.80
  4. Step 4: Simplify right side
    490,190.40x = 236,930,196,545.28
  5. Step 5: Solve for x
    x = 236,930,196,545.28/490,190.40
  6. Step 6: Final answer
    x = 483,343.20

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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.