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Finding the Fourth Proportional to 321,819.20, 482,728.80 and 144,137.60

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Solution

The fourth proportional to 321,819.20, 482,728.80 and 144,137.60 is: 216,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,819.20 : 482,728.80 = 144,137.60 : x
  2. Step 2: Convert to fraction form
    321,819.20/482,728.80 = 144,137.60/x
  3. Step 3: Cross multiply
    321,819.20x = 482,728.80 × 144,137.60
  4. Step 4: Simplify right side
    321,819.20x = 69,579,370,682.88
  5. Step 5: Solve for x
    x = 69,579,370,682.88/321,819.20
  6. Step 6: Final answer
    x = 216,206.40

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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.