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Finding the Fourth Proportional to 412,879.30, 619,318.95 and 226,255.30

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Solution

The fourth proportional to 412,879.30, 619,318.95 and 226,255.30 is: 339,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,879.30 : 619,318.95 = 226,255.30 : x
  2. Step 2: Convert to fraction form
    412,879.30/619,318.95 = 226,255.30/x
  3. Step 3: Cross multiply
    412,879.30x = 619,318.95 × 226,255.30
  4. Step 4: Simplify right side
    412,879.30x = 140,124,194,827.94
  5. Step 5: Solve for x
    x = 140,124,194,827.94/412,879.30
  6. Step 6: Final answer
    x = 339,382.95

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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.