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Finding the Fourth Proportional to 524,659.20, 787,780.80 and 419,164.80

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Solution

The fourth proportional to 524,659.20, 787,780.80 and 419,164.80 is: 629,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,659.20 : 787,780.80 = 419,164.80 : x
  2. Step 2: Convert to fraction form
    524,659.20/787,780.80 = 419,164.80/x
  3. Step 3: Cross multiply
    524,659.20x = 787,780.80 × 419,164.80
  4. Step 4: Simplify right side
    524,659.20x = 330,209,981,475.84
  5. Step 5: Solve for x
    x = 330,209,981,475.84/524,659.20
  6. Step 6: Final answer
    x = 629,379.95

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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.