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Finding the Fourth Proportional to 421,965.38, 633,028.04 and 137,632.14

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Solution

The fourth proportional to 421,965.38, 633,028.04 and 137,632.14 is: 206,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,965.38 : 633,028.04 = 137,632.14 : x
  2. Step 2: Convert to fraction form
    421,965.38/633,028.04 = 137,632.14/x
  3. Step 3: Cross multiply
    421,965.38x = 633,028.04 × 137,632.14
  4. Step 4: Simplify right side
    421,965.38x = 87,125,003,137.04
  5. Step 5: Solve for x
    x = 87,125,003,137.04/421,965.38
  6. Step 6: Final answer
    x = 206,474.29

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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.