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Finding the Fourth Proportional to 499,709.50, 689,599.11 and 273,359.86

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Solution

The fourth proportional to 499,709.50, 689,599.11 and 273,359.86 is: 377,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,709.50 : 689,599.11 = 273,359.86 : x
  2. Step 2: Convert to fraction form
    499,709.50/689,599.11 = 273,359.86/x
  3. Step 3: Cross multiply
    499,709.50x = 689,599.11 × 273,359.86
  4. Step 4: Simplify right side
    499,709.50x = 188,508,716,165.73
  5. Step 5: Solve for x
    x = 188,508,716,165.73/499,709.50
  6. Step 6: Final answer
    x = 377,236.61

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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.