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Finding the Fourth Proportional to 323,810.20, 485,715.30 and 205,712.20

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Solution

The fourth proportional to 323,810.20, 485,715.30 and 205,712.20 is: 308,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,810.20 : 485,715.30 = 205,712.20 : x
  2. Step 2: Convert to fraction form
    323,810.20/485,715.30 = 205,712.20/x
  3. Step 3: Cross multiply
    323,810.20x = 485,715.30 × 205,712.20
  4. Step 4: Simplify right side
    323,810.20x = 99,917,562,936.66
  5. Step 5: Solve for x
    x = 99,917,562,936.66/323,810.20
  6. Step 6: Final answer
    x = 308,568.30

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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.