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Finding the Fourth Proportional to 394,196.83, 590,807.39 and 280,162.89

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Solution

The fourth proportional to 394,196.83, 590,807.39 and 280,162.89 is: 419,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,196.83 : 590,807.39 = 280,162.89 : x
  2. Step 2: Convert to fraction form
    394,196.83/590,807.39 = 280,162.89/x
  3. Step 3: Cross multiply
    394,196.83x = 590,807.39 × 280,162.89
  4. Step 4: Simplify right side
    394,196.83x = 165,522,305,815.76
  5. Step 5: Solve for x
    x = 165,522,305,815.76/394,196.83
  6. Step 6: Final answer
    x = 419,897.61

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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.