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Finding the Fourth Proportional to 421,998.06, 633,052.67 and 137,588.73

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Solution

The fourth proportional to 421,998.06, 633,052.67 and 137,588.73 is: 206,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,998.06 : 633,052.67 = 137,588.73 : x
  2. Step 2: Convert to fraction form
    421,998.06/633,052.67 = 137,588.73/x
  3. Step 3: Cross multiply
    421,998.06x = 633,052.67 × 137,588.73
  4. Step 4: Simplify right side
    421,998.06x = 87,100,912,888.41
  5. Step 5: Solve for x
    x = 87,100,912,888.41/421,998.06
  6. Step 6: Final answer
    x = 206,401.22

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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.