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Finding the Fourth Proportional to 321,780.60, 482,515.38 and 188,704.08

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Solution

The fourth proportional to 321,780.60, 482,515.38 and 188,704.08 is: 282,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,780.60 : 482,515.38 = 188,704.08 : x
  2. Step 2: Convert to fraction form
    321,780.60/482,515.38 = 188,704.08/x
  3. Step 3: Cross multiply
    321,780.60x = 482,515.38 × 188,704.08
  4. Step 4: Simplify right side
    321,780.60x = 91,052,620,868.75
  5. Step 5: Solve for x
    x = 91,052,620,868.75/321,780.60
  6. Step 6: Final answer
    x = 282,964.92

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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.