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Finding the Fourth Proportional to 324,105.60, 486,158.40 and 205,861.80

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Solution

The fourth proportional to 324,105.60, 486,158.40 and 205,861.80 is: 308,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,105.60 : 486,158.40 = 205,861.80 : x
  2. Step 2: Convert to fraction form
    324,105.60/486,158.40 = 205,861.80/x
  3. Step 3: Cross multiply
    324,105.60x = 486,158.40 × 205,861.80
  4. Step 4: Simplify right side
    324,105.60x = 100,081,443,309.12
  5. Step 5: Solve for x
    x = 100,081,443,309.12/324,105.60
  6. Step 6: Final answer
    x = 308,792.70

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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.