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Finding the Fourth Proportional to 456,932.80, 684,913.20 and 220,121.20

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Solution

The fourth proportional to 456,932.80, 684,913.20 and 220,121.20 is: 329,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,932.80 : 684,913.20 = 220,121.20 : x
  2. Step 2: Convert to fraction form
    456,932.80/684,913.20 = 220,121.20/x
  3. Step 3: Cross multiply
    456,932.80x = 684,913.20 × 220,121.20
  4. Step 4: Simplify right side
    456,932.80x = 150,763,915,479.84
  5. Step 5: Solve for x
    x = 150,763,915,479.84/456,932.80
  6. Step 6: Final answer
    x = 329,947.68

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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.