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Finding the Fourth Proportional to 321,941.60, 482,912.40 and 85,320.80

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Solution

The fourth proportional to 321,941.60, 482,912.40 and 85,320.80 is: 127,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,941.60 : 482,912.40 = 85,320.80 : x
  2. Step 2: Convert to fraction form
    321,941.60/482,912.40 = 85,320.80/x
  3. Step 3: Cross multiply
    321,941.60x = 482,912.40 × 85,320.80
  4. Step 4: Simplify right side
    321,941.60x = 41,202,472,297.92
  5. Step 5: Solve for x
    x = 41,202,472,297.92/321,941.60
  6. Step 6: Final answer
    x = 127,981.20

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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.