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Finding the Fourth Proportional to 323,817.20, 485,207.40 and 205,276.40

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Solution

The fourth proportional to 323,817.20, 485,207.40 and 205,276.40 is: 307,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,817.20 : 485,207.40 = 205,276.40 : x
  2. Step 2: Convert to fraction form
    323,817.20/485,207.40 = 205,276.40/x
  3. Step 3: Cross multiply
    323,817.20x = 485,207.40 × 205,276.40
  4. Step 4: Simplify right side
    323,817.20x = 99,601,628,325.36
  5. Step 5: Solve for x
    x = 99,601,628,325.36/323,817.20
  6. Step 6: Final answer
    x = 307,585.97

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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.