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Finding the Fourth Proportional to 378,231.77, 567,396.84 and 138,308.31

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Solution

The fourth proportional to 378,231.77, 567,396.84 and 138,308.31 is: 207,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,231.77 : 567,396.84 = 138,308.31 : x
  2. Step 2: Convert to fraction form
    378,231.77/567,396.84 = 138,308.31/x
  3. Step 3: Cross multiply
    378,231.77x = 567,396.84 × 138,308.31
  4. Step 4: Simplify right side
    378,231.77x = 78,475,698,039.74
  5. Step 5: Solve for x
    x = 78,475,698,039.74/378,231.77
  6. Step 6: Final answer
    x = 207,480.45

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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.