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Finding the Fourth Proportional to 257,225.20, 385,181.70 and 204,737.20

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Solution

The fourth proportional to 257,225.20, 385,181.70 and 204,737.20 is: 306,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,225.20 : 385,181.70 = 204,737.20 : x
  2. Step 2: Convert to fraction form
    257,225.20/385,181.70 = 204,737.20/x
  3. Step 3: Cross multiply
    257,225.20x = 385,181.70 × 204,737.20
  4. Step 4: Simplify right side
    257,225.20x = 78,861,022,749.24
  5. Step 5: Solve for x
    x = 78,861,022,749.24/257,225.20
  6. Step 6: Final answer
    x = 306,583.58

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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.