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Finding the Fourth Proportional to 220,564.20, 330,846.30 and 137,620.20

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Solution

The fourth proportional to 220,564.20, 330,846.30 and 137,620.20 is: 206,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,564.20 : 330,846.30 = 137,620.20 : x
  2. Step 2: Convert to fraction form
    220,564.20/330,846.30 = 137,620.20/x
  3. Step 3: Cross multiply
    220,564.20x = 330,846.30 × 137,620.20
  4. Step 4: Simplify right side
    220,564.20x = 45,531,133,975.26
  5. Step 5: Solve for x
    x = 45,531,133,975.26/220,564.20
  6. Step 6: Final answer
    x = 206,430.30

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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.