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Finding the Fourth Proportional to 285,828.05, 428,742.05 and 75,467.81

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Solution

The fourth proportional to 285,828.05, 428,742.05 and 75,467.81 is: 113,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,828.05 : 428,742.05 = 75,467.81 : x
  2. Step 2: Convert to fraction form
    285,828.05/428,742.05 = 75,467.81/x
  3. Step 3: Cross multiply
    285,828.05x = 428,742.05 × 75,467.81
  4. Step 4: Simplify right side
    285,828.05x = 32,356,224,262.93
  5. Step 5: Solve for x
    x = 32,356,224,262.93/285,828.05
  6. Step 6: Final answer
    x = 113,201.71

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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.