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Finding the Fourth Proportional to 285,749.43, 428,591.31 and 75,403.77

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Solution

The fourth proportional to 285,749.43, 428,591.31 and 75,403.77 is: 113,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,749.43 : 428,591.31 = 75,403.77 : x
  2. Step 2: Convert to fraction form
    285,749.43/428,591.31 = 75,403.77/x
  3. Step 3: Cross multiply
    285,749.43x = 428,591.31 × 75,403.77
  4. Step 4: Simplify right side
    285,749.43x = 32,317,400,563.24
  5. Step 5: Solve for x
    x = 32,317,400,563.24/285,749.43
  6. Step 6: Final answer
    x = 113,096.99

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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.