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Finding the Fourth Proportional to 220,722.40, 330,853.20 and 120,728.80

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Solution

The fourth proportional to 220,722.40, 330,853.20 and 120,728.80 is: 180,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,722.40 : 330,853.20 = 120,728.80 : x
  2. Step 2: Convert to fraction form
    220,722.40/330,853.20 = 120,728.80/x
  3. Step 3: Cross multiply
    220,722.40x = 330,853.20 × 120,728.80
  4. Step 4: Simplify right side
    220,722.40x = 39,943,509,812.16
  5. Step 5: Solve for x
    x = 39,943,509,812.16/220,722.40
  6. Step 6: Final answer
    x = 180,967.18

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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.