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Finding the Fourth Proportional to 285,422.40, 428,120.64 and 135,552.96

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Solution

The fourth proportional to 285,422.40, 428,120.64 and 135,552.96 is: 203,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,422.40 : 428,120.64 = 135,552.96 : x
  2. Step 2: Convert to fraction form
    285,422.40/428,120.64 = 135,552.96/x
  3. Step 3: Cross multiply
    285,422.40x = 428,120.64 × 135,552.96
  4. Step 4: Simplify right side
    285,422.40x = 58,033,019,989.09
  5. Step 5: Solve for x
    x = 58,033,019,989.09/285,422.40
  6. Step 6: Final answer
    x = 203,323.29

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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.