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Finding the Fourth Proportional to 378,536, 567,900 and 141,879.36

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Solution

The fourth proportional to 378,536, 567,900 and 141,879.36 is: 212,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,536 : 567,900 = 141,879.36 : x
  2. Step 2: Convert to fraction form
    378,536/567,900 = 141,879.36/x
  3. Step 3: Cross multiply
    378,536x = 567,900 × 141,879.36
  4. Step 4: Simplify right side
    378,536x = 80,573,288,544.00
  5. Step 5: Solve for x
    x = 80,573,288,544.00/378,536
  6. Step 6: Final answer
    x = 212,855.02

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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.