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Finding the Fourth Proportional to 499,785.66, 689,793 and 295,949.73

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Solution

The fourth proportional to 499,785.66, 689,793 and 295,949.73 is: 408,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,785.66 : 689,793 = 295,949.73 : x
  2. Step 2: Convert to fraction form
    499,785.66/689,793 = 295,949.73/x
  3. Step 3: Cross multiply
    499,785.66x = 689,793 × 295,949.73
  4. Step 4: Simplify right side
    499,785.66x = 204,144,052,105.89
  5. Step 5: Solve for x
    x = 204,144,052,105.89/499,785.66
  6. Step 6: Final answer
    x = 408,463.20

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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.