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Finding the Fourth Proportional to 214,239.40, 321,704.70 and 161,708.20

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Solution

The fourth proportional to 214,239.40, 321,704.70 and 161,708.20 is: 242,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,239.40 : 321,704.70 = 161,708.20 : x
  2. Step 2: Convert to fraction form
    214,239.40/321,704.70 = 161,708.20/x
  3. Step 3: Cross multiply
    214,239.40x = 321,704.70 × 161,708.20
  4. Step 4: Simplify right side
    214,239.40x = 52,022,287,968.54
  5. Step 5: Solve for x
    x = 52,022,287,968.54/214,239.40
  6. Step 6: Final answer
    x = 242,823.16

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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.