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Finding the Fourth Proportional to 252,512.40, 378,768.60 and 65,523.90

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Solution

The fourth proportional to 252,512.40, 378,768.60 and 65,523.90 is: 98,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,512.40 : 378,768.60 = 65,523.90 : x
  2. Step 2: Convert to fraction form
    252,512.40/378,768.60 = 65,523.90/x
  3. Step 3: Cross multiply
    252,512.40x = 378,768.60 × 65,523.90
  4. Step 4: Simplify right side
    252,512.40x = 24,818,395,869.54
  5. Step 5: Solve for x
    x = 24,818,395,869.54/252,512.40
  6. Step 6: Final answer
    x = 98,285.85

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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.