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Finding the Fourth Proportional to 320,213.38, 480,398.90 and 225,628.28

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Solution

The fourth proportional to 320,213.38, 480,398.90 and 225,628.28 is: 338,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,213.38 : 480,398.90 = 225,628.28 : x
  2. Step 2: Convert to fraction form
    320,213.38/480,398.90 = 225,628.28/x
  3. Step 3: Cross multiply
    320,213.38x = 480,398.90 × 225,628.28
  4. Step 4: Simplify right side
    320,213.38x = 108,391,579,763.66
  5. Step 5: Solve for x
    x = 108,391,579,763.66/320,213.38
  6. Step 6: Final answer
    x = 338,497.98

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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.