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Finding the Fourth Proportional to 321,689.97, 482,370.18 and 169,968.50

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Solution

The fourth proportional to 321,689.97, 482,370.18 and 169,968.50 is: 254,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,689.97 : 482,370.18 = 169,968.50 : x
  2. Step 2: Convert to fraction form
    321,689.97/482,370.18 = 169,968.50/x
  3. Step 3: Cross multiply
    321,689.97x = 482,370.18 × 169,968.50
  4. Step 4: Simplify right side
    321,689.97x = 81,987,733,527.48
  5. Step 5: Solve for x
    x = 81,987,733,527.48/321,689.97
  6. Step 6: Final answer
    x = 254,865.68

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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.