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Finding the Fourth Proportional to 378,858.48, 568,381.26 and 112,617.84

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Solution

The fourth proportional to 378,858.48, 568,381.26 and 112,617.84 is: 168,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,858.48 : 568,381.26 = 112,617.84 : x
  2. Step 2: Convert to fraction form
    378,858.48/568,381.26 = 112,617.84/x
  3. Step 3: Cross multiply
    378,858.48x = 568,381.26 × 112,617.84
  4. Step 4: Simplify right side
    378,858.48x = 64,009,869,797.68
  5. Step 5: Solve for x
    x = 64,009,869,797.68/378,858.48
  6. Step 6: Final answer
    x = 168,954.57

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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.