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Finding the Fourth Proportional to 321,944.80, 482,722.80 and 144,418.72

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Solution

The fourth proportional to 321,944.80, 482,722.80 and 144,418.72 is: 216,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,944.80 : 482,722.80 = 144,418.72 : x
  2. Step 2: Convert to fraction form
    321,944.80/482,722.80 = 144,418.72/x
  3. Step 3: Cross multiply
    321,944.80x = 482,722.80 × 144,418.72
  4. Step 4: Simplify right side
    321,944.80x = 69,714,208,890.82
  5. Step 5: Solve for x
    x = 69,714,208,890.82/321,944.80
  6. Step 6: Final answer
    x = 216,540.88

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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.