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Finding the Fourth Proportional to 285,629.80, 428,250.30 and 135,941.80

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Solution

The fourth proportional to 285,629.80, 428,250.30 and 135,941.80 is: 203,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,629.80 : 428,250.30 = 135,941.80 : x
  2. Step 2: Convert to fraction form
    285,629.80/428,250.30 = 135,941.80/x
  3. Step 3: Cross multiply
    285,629.80x = 428,250.30 × 135,941.80
  4. Step 4: Simplify right side
    285,629.80x = 58,217,116,632.54
  5. Step 5: Solve for x
    x = 58,217,116,632.54/285,629.80
  6. Step 6: Final answer
    x = 203,820.18

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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.