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Finding the Fourth Proportional to 214,433.60, 321,650.40 and 161,211.20

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Solution

The fourth proportional to 214,433.60, 321,650.40 and 161,211.20 is: 241,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,433.60 : 321,650.40 = 161,211.20 : x
  2. Step 2: Convert to fraction form
    214,433.60/321,650.40 = 161,211.20/x
  3. Step 3: Cross multiply
    214,433.60x = 321,650.40 × 161,211.20
  4. Step 4: Simplify right side
    214,433.60x = 51,853,646,964.48
  5. Step 5: Solve for x
    x = 51,853,646,964.48/214,433.60
  6. Step 6: Final answer
    x = 241,816.80

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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.