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Finding the Fourth Proportional to 499,382.50, 689,147.85 and 273,028

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Solution

The fourth proportional to 499,382.50, 689,147.85 and 273,028 is: 376,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,382.50 : 689,147.85 = 273,028 : x
  2. Step 2: Convert to fraction form
    499,382.50/689,147.85 = 273,028/x
  3. Step 3: Cross multiply
    499,382.50x = 689,147.85 × 273,028
  4. Step 4: Simplify right side
    499,382.50x = 188,156,659,189.80
  5. Step 5: Solve for x
    x = 188,156,659,189.80/499,382.50
  6. Step 6: Final answer
    x = 376,778.64

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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.