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Finding the Fourth Proportional to 378,131.65, 567,317.72 and 111,893.47

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Solution

The fourth proportional to 378,131.65, 567,317.72 and 111,893.47 is: 167,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,131.65 : 567,317.72 = 111,893.47 : x
  2. Step 2: Convert to fraction form
    378,131.65/567,317.72 = 111,893.47/x
  3. Step 3: Cross multiply
    378,131.65x = 567,317.72 × 111,893.47
  4. Step 4: Simplify right side
    378,131.65x = 63,479,148,283.29
  5. Step 5: Solve for x
    x = 63,479,148,283.29/378,131.65
  6. Step 6: Final answer
    x = 167,875.79

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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.