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Finding the Fourth Proportional to 379,489.80, 569,234.70 and 219,838.80

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Solution

The fourth proportional to 379,489.80, 569,234.70 and 219,838.80 is: 329,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,489.80 : 569,234.70 = 219,838.80 : x
  2. Step 2: Convert to fraction form
    379,489.80/569,234.70 = 219,838.80/x
  3. Step 3: Cross multiply
    379,489.80x = 569,234.70 × 219,838.80
  4. Step 4: Simplify right side
    379,489.80x = 125,139,873,366.36
  5. Step 5: Solve for x
    x = 125,139,873,366.36/379,489.80
  6. Step 6: Final answer
    x = 329,758.20

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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.