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Finding the Fourth Proportional to 279,708.60, 419,234.85 and 146,520.30

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Solution

The fourth proportional to 279,708.60, 419,234.85 and 146,520.30 is: 219,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,708.60 : 419,234.85 = 146,520.30 : x
  2. Step 2: Convert to fraction form
    279,708.60/419,234.85 = 146,520.30/x
  3. Step 3: Cross multiply
    279,708.60x = 419,234.85 × 146,520.30
  4. Step 4: Simplify right side
    279,708.60x = 61,426,415,992.46
  5. Step 5: Solve for x
    x = 61,426,415,992.46/279,708.60
  6. Step 6: Final answer
    x = 219,608.61

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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.