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Finding the Fourth Proportional to 321,405.70, 482,022.15 and 96,765.70

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Solution

The fourth proportional to 321,405.70, 482,022.15 and 96,765.70 is: 145,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,405.70 : 482,022.15 = 96,765.70 : x
  2. Step 2: Convert to fraction form
    321,405.70/482,022.15 = 96,765.70/x
  3. Step 3: Cross multiply
    321,405.70x = 482,022.15 × 96,765.70
  4. Step 4: Simplify right side
    321,405.70x = 46,643,210,760.26
  5. Step 5: Solve for x
    x = 46,643,210,760.26/321,405.70
  6. Step 6: Final answer
    x = 145,122.54

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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.