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Finding the Fourth Proportional to 323,619.20, 485,428.80 and 205,812.80

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Solution

The fourth proportional to 323,619.20, 485,428.80 and 205,812.80 is: 308,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,619.20 : 485,428.80 = 205,812.80 : x
  2. Step 2: Convert to fraction form
    323,619.20/485,428.80 = 205,812.80/x
  3. Step 3: Cross multiply
    323,619.20x = 485,428.80 × 205,812.80
  4. Step 4: Simplify right side
    323,619.20x = 99,907,460,528.64
  5. Step 5: Solve for x
    x = 99,907,460,528.64/323,619.20
  6. Step 6: Final answer
    x = 308,719.20

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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.