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Finding the Fourth Proportional to 354,299.24, 488,977.08 and 203,393

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Solution

The fourth proportional to 354,299.24, 488,977.08 and 203,393 is: 280,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,299.24 : 488,977.08 = 203,393 : x
  2. Step 2: Convert to fraction form
    354,299.24/488,977.08 = 203,393/x
  3. Step 3: Cross multiply
    354,299.24x = 488,977.08 × 203,393
  4. Step 4: Simplify right side
    354,299.24x = 99,454,515,232.44
  5. Step 5: Solve for x
    x = 99,454,515,232.44/354,299.24
  6. Step 6: Final answer
    x = 280,707.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.