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Finding the Fourth Proportional to 285,739.92, 428,028.48 and 185,596.56

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Solution

The fourth proportional to 285,739.92, 428,028.48 and 185,596.56 is: 278,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,739.92 : 428,028.48 = 185,596.56 : x
  2. Step 2: Convert to fraction form
    285,739.92/428,028.48 = 185,596.56/x
  3. Step 3: Cross multiply
    285,739.92x = 428,028.48 × 185,596.56
  4. Step 4: Simplify right side
    285,739.92x = 79,440,613,470.03
  5. Step 5: Solve for x
    x = 79,440,613,470.03/285,739.92
  6. Step 6: Final answer
    x = 278,017.20

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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.