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Finding the Fourth Proportional to 279,814.35, 419,781.51 and 90,285.57

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Solution

The fourth proportional to 279,814.35, 419,781.51 and 90,285.57 is: 135,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,814.35 : 419,781.51 = 90,285.57 : x
  2. Step 2: Convert to fraction form
    279,814.35/419,781.51 = 90,285.57/x
  3. Step 3: Cross multiply
    279,814.35x = 419,781.51 × 90,285.57
  4. Step 4: Simplify right side
    279,814.35x = 37,900,212,905.81
  5. Step 5: Solve for x
    x = 37,900,212,905.81/279,814.35
  6. Step 6: Final answer
    x = 135,447.71

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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.