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Finding the Fourth Proportional to 321,500.50, 482,276.97 and 161,494.11

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Solution

The fourth proportional to 321,500.50, 482,276.97 and 161,494.11 is: 242,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,500.50 : 482,276.97 = 161,494.11 : x
  2. Step 2: Convert to fraction form
    321,500.50/482,276.97 = 161,494.11/x
  3. Step 3: Cross multiply
    321,500.50x = 482,276.97 × 161,494.11
  4. Step 4: Simplify right side
    321,500.50x = 77,884,890,043.65
  5. Step 5: Solve for x
    x = 77,884,890,043.65/321,500.50
  6. Step 6: Final answer
    x = 242,254.34

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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.