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Finding the Fourth Proportional to 321,876.20, 482,811.90 and 97,236.20

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Solution

The fourth proportional to 321,876.20, 482,811.90 and 97,236.20 is: 145,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,876.20 : 482,811.90 = 97,236.20 : x
  2. Step 2: Convert to fraction form
    321,876.20/482,811.90 = 97,236.20/x
  3. Step 3: Cross multiply
    321,876.20x = 482,811.90 × 97,236.20
  4. Step 4: Simplify right side
    321,876.20x = 46,946,794,470.78
  5. Step 5: Solve for x
    x = 46,946,794,470.78/321,876.20
  6. Step 6: Final answer
    x = 145,853.57

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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.