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Finding the Fourth Proportional to 323,464.20, 485,196.30 and 205,657.80

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Solution

The fourth proportional to 323,464.20, 485,196.30 and 205,657.80 is: 308,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,464.20 : 485,196.30 = 205,657.80 : x
  2. Step 2: Convert to fraction form
    323,464.20/485,196.30 = 205,657.80/x
  3. Step 3: Cross multiply
    323,464.20x = 485,196.30 × 205,657.80
  4. Step 4: Simplify right side
    323,464.20x = 99,784,403,626.14
  5. Step 5: Solve for x
    x = 99,784,403,626.14/323,464.20
  6. Step 6: Final answer
    x = 308,486.70

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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.