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Finding the Fourth Proportional to 321,409.20, 482,027.40 and 96,769.20

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Solution

The fourth proportional to 321,409.20, 482,027.40 and 96,769.20 is: 145,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,409.20 : 482,027.40 = 96,769.20 : x
  2. Step 2: Convert to fraction form
    321,409.20/482,027.40 = 96,769.20/x
  3. Step 3: Cross multiply
    321,409.20x = 482,027.40 × 96,769.20
  4. Step 4: Simplify right side
    321,409.20x = 46,645,405,876.08
  5. Step 5: Solve for x
    x = 46,645,405,876.08/321,409.20
  6. Step 6: Final answer
    x = 145,127.79

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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.