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Finding the Fourth Proportional to 378,122.28, 566,592.77 and 321,730.48

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Solution

The fourth proportional to 378,122.28, 566,592.77 and 321,730.48 is: 482,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,122.28 : 566,592.77 = 321,730.48 : x
  2. Step 2: Convert to fraction form
    378,122.28/566,592.77 = 321,730.48/x
  3. Step 3: Cross multiply
    378,122.28x = 566,592.77 × 321,730.48
  4. Step 4: Simplify right side
    378,122.28x = 182,290,165,369.20
  5. Step 5: Solve for x
    x = 182,290,165,369.20/378,122.28
  6. Step 6: Final answer
    x = 482,093.17

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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.