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Finding the Fourth Proportional to 321,965.82, 482,943.06 and 111,600.72

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Solution

The fourth proportional to 321,965.82, 482,943.06 and 111,600.72 is: 167,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,965.82 : 482,943.06 = 111,600.72 : x
  2. Step 2: Convert to fraction form
    321,965.82/482,943.06 = 111,600.72/x
  3. Step 3: Cross multiply
    321,965.82x = 482,943.06 × 111,600.72
  4. Step 4: Simplify right side
    321,965.82x = 53,896,793,215.00
  5. Step 5: Solve for x
    x = 53,896,793,215.00/321,965.82
  6. Step 6: Final answer
    x = 167,399.11

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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.