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Finding the Fourth Proportional to 407,785.05, 611,677.58 and 281,813.85

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Solution

The fourth proportional to 407,785.05, 611,677.58 and 281,813.85 is: 422,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,785.05 : 611,677.58 = 281,813.85 : x
  2. Step 2: Convert to fraction form
    407,785.05/611,677.58 = 281,813.85/x
  3. Step 3: Cross multiply
    407,785.05x = 611,677.58 × 281,813.85
  4. Step 4: Simplify right side
    407,785.05x = 172,379,212,369.41
  5. Step 5: Solve for x
    x = 172,379,212,369.41/407,785.05
  6. Step 6: Final answer
    x = 422,720.78

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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.