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Finding the Fourth Proportional to 252,078.60, 378,117.90 and 194,997.90

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Solution

The fourth proportional to 252,078.60, 378,117.90 and 194,997.90 is: 292,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,078.60 : 378,117.90 = 194,997.90 : x
  2. Step 2: Convert to fraction form
    252,078.60/378,117.90 = 194,997.90/x
  3. Step 3: Cross multiply
    252,078.60x = 378,117.90 × 194,997.90
  4. Step 4: Simplify right side
    252,078.60x = 73,732,196,452.41
  5. Step 5: Solve for x
    x = 73,732,196,452.41/252,078.60
  6. Step 6: Final answer
    x = 292,496.85

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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.