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Finding the Fourth Proportional to 268,543.20, 402,469.20 and 205,903.20

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Solution

The fourth proportional to 268,543.20, 402,469.20 and 205,903.20 is: 308,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,543.20 : 402,469.20 = 205,903.20 : x
  2. Step 2: Convert to fraction form
    268,543.20/402,469.20 = 205,903.20/x
  3. Step 3: Cross multiply
    268,543.20x = 402,469.20 × 205,903.20
  4. Step 4: Simplify right side
    268,543.20x = 82,869,696,181.44
  5. Step 5: Solve for x
    x = 82,869,696,181.44/268,543.20
  6. Step 6: Final answer
    x = 308,589.81

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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.