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Finding the Fourth Proportional to 420,684.72, 631,211.40 and 220,958.88

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Solution

The fourth proportional to 420,684.72, 631,211.40 and 220,958.88 is: 331,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,684.72 : 631,211.40 = 220,958.88 : x
  2. Step 2: Convert to fraction form
    420,684.72/631,211.40 = 220,958.88/x
  3. Step 3: Cross multiply
    420,684.72x = 631,211.40 × 220,958.88
  4. Step 4: Simplify right side
    420,684.72x = 139,471,763,987.23
  5. Step 5: Solve for x
    x = 139,471,763,987.23/420,684.72
  6. Step 6: Final answer
    x = 331,535.13

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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.