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Finding the Fourth Proportional to 378,709.70, 567,299.10 and 236,117.30

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Solution

The fourth proportional to 378,709.70, 567,299.10 and 236,117.30 is: 353,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,709.70 : 567,299.10 = 236,117.30 : x
  2. Step 2: Convert to fraction form
    378,709.70/567,299.10 = 236,117.30/x
  3. Step 3: Cross multiply
    378,709.70x = 567,299.10 × 236,117.30
  4. Step 4: Simplify right side
    378,709.70x = 133,949,131,784.43
  5. Step 5: Solve for x
    x = 133,949,131,784.43/378,709.70
  6. Step 6: Final answer
    x = 353,698.71

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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.