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Finding the Fourth Proportional to 378,992.67, 568,331.64 and 154,200.51

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Solution

The fourth proportional to 378,992.67, 568,331.64 and 154,200.51 is: 231,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,992.67 : 568,331.64 = 154,200.51 : x
  2. Step 2: Convert to fraction form
    378,992.67/568,331.64 = 154,200.51/x
  3. Step 3: Cross multiply
    378,992.67x = 568,331.64 × 154,200.51
  4. Step 4: Simplify right side
    378,992.67x = 87,637,028,737.14
  5. Step 5: Solve for x
    x = 87,637,028,737.14/378,992.67
  6. Step 6: Final answer
    x = 231,236.74

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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.