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Finding the Fourth Proportional to 378,123.20, 566,493.60 and 307,620.80

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Solution

The fourth proportional to 378,123.20, 566,493.60 and 307,620.80 is: 460,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,123.20 : 566,493.60 = 307,620.80 : x
  2. Step 2: Convert to fraction form
    378,123.20/566,493.60 = 307,620.80/x
  3. Step 3: Cross multiply
    378,123.20x = 566,493.60 × 307,620.80
  4. Step 4: Simplify right side
    378,123.20x = 174,265,214,426.88
  5. Step 5: Solve for x
    x = 174,265,214,426.88/378,123.20
  6. Step 6: Final answer
    x = 460,868.88

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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.