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Finding the Fourth Proportional to 519,839.80, 780,105.30 and 295,199.80

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Solution

The fourth proportional to 519,839.80, 780,105.30 and 295,199.80 is: 442,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,839.80 : 780,105.30 = 295,199.80 : x
  2. Step 2: Convert to fraction form
    519,839.80/780,105.30 = 295,199.80/x
  3. Step 3: Cross multiply
    519,839.80x = 780,105.30 × 295,199.80
  4. Step 4: Simplify right side
    519,839.80x = 230,286,928,538.94
  5. Step 5: Solve for x
    x = 230,286,928,538.94/519,839.80
  6. Step 6: Final answer
    x = 442,995.95

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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.