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Finding the Fourth Proportional to 306,410.40, 458,708.40 and 227,872.80

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Solution

The fourth proportional to 306,410.40, 458,708.40 and 227,872.80 is: 341,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,410.40 : 458,708.40 = 227,872.80 : x
  2. Step 2: Convert to fraction form
    306,410.40/458,708.40 = 227,872.80/x
  3. Step 3: Cross multiply
    306,410.40x = 458,708.40 × 227,872.80
  4. Step 4: Simplify right side
    306,410.40x = 104,527,167,491.52
  5. Step 5: Solve for x
    x = 104,527,167,491.52/306,410.40
  6. Step 6: Final answer
    x = 341,134.53

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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.