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Finding the Fourth Proportional to 307,099.20, 459,992.70 and 254,611.20

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Solution

The fourth proportional to 307,099.20, 459,992.70 and 254,611.20 is: 381,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,099.20 : 459,992.70 = 254,611.20 : x
  2. Step 2: Convert to fraction form
    307,099.20/459,992.70 = 254,611.20/x
  3. Step 3: Cross multiply
    307,099.20x = 459,992.70 × 254,611.20
  4. Step 4: Simplify right side
    307,099.20x = 117,119,293,338.24
  5. Step 5: Solve for x
    x = 117,119,293,338.24/307,099.20
  6. Step 6: Final answer
    x = 381,372.84

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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.