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Finding the Fourth Proportional to 421,999.12, 633,054.26 and 137,589.80

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Solution

The fourth proportional to 421,999.12, 633,054.26 and 137,589.80 is: 206,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,999.12 : 633,054.26 = 137,589.80 : x
  2. Step 2: Convert to fraction form
    421,999.12/633,054.26 = 137,589.80/x
  3. Step 3: Cross multiply
    421,999.12x = 633,054.26 × 137,589.80
  4. Step 4: Simplify right side
    421,999.12x = 87,101,810,949.16
  5. Step 5: Solve for x
    x = 87,101,810,949.16/421,999.12
  6. Step 6: Final answer
    x = 206,402.83

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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.