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Finding the Fourth Proportional to 378,012.33, 567,129.24 and 111,779.73

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Solution

The fourth proportional to 378,012.33, 567,129.24 and 111,779.73 is: 167,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,012.33 : 567,129.24 = 111,779.73 : x
  2. Step 2: Convert to fraction form
    378,012.33/567,129.24 = 111,779.73/x
  3. Step 3: Cross multiply
    378,012.33x = 567,129.24 × 111,779.73
  4. Step 4: Simplify right side
    378,012.33x = 63,393,553,322.31
  5. Step 5: Solve for x
    x = 63,393,553,322.31/378,012.33
  6. Step 6: Final answer
    x = 167,702.34

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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.