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Finding the Fourth Proportional to 413,958.38, 620,929.81 and 225,617.34

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Solution

The fourth proportional to 413,958.38, 620,929.81 and 225,617.34 is: 338,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,958.38 : 620,929.81 = 225,617.34 : x
  2. Step 2: Convert to fraction form
    413,958.38/620,929.81 = 225,617.34/x
  3. Step 3: Cross multiply
    413,958.38x = 620,929.81 × 225,617.34
  4. Step 4: Simplify right side
    413,958.38x = 140,092,534,669.41
  5. Step 5: Solve for x
    x = 140,092,534,669.41/413,958.38
  6. Step 6: Final answer
    x = 338,421.79

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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.