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Finding the Fourth Proportional to 321,438.36, 482,120.54 and 129,305.56

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Solution

The fourth proportional to 321,438.36, 482,120.54 and 129,305.56 is: 193,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,438.36 : 482,120.54 = 129,305.56 : x
  2. Step 2: Convert to fraction form
    321,438.36/482,120.54 = 129,305.56/x
  3. Step 3: Cross multiply
    321,438.36x = 482,120.54 × 129,305.56
  4. Step 4: Simplify right side
    321,438.36x = 62,340,866,412.20
  5. Step 5: Solve for x
    x = 62,340,866,412.20/321,438.36
  6. Step 6: Final answer
    x = 193,943.46

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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.