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Finding the Fourth Proportional to 321,811.20, 482,774.40 and 134,841.60

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Solution

The fourth proportional to 321,811.20, 482,774.40 and 134,841.60 is: 202,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,811.20 : 482,774.40 = 134,841.60 : x
  2. Step 2: Convert to fraction form
    321,811.20/482,774.40 = 134,841.60/x
  3. Step 3: Cross multiply
    321,811.20x = 482,774.40 × 134,841.60
  4. Step 4: Simplify right side
    321,811.20x = 65,098,072,535.04
  5. Step 5: Solve for x
    x = 65,098,072,535.04/321,811.20
  6. Step 6: Final answer
    x = 202,286.53

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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.