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Finding the Fourth Proportional to 524,977.20, 788,257.80 and 419,482.80

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Solution

The fourth proportional to 524,977.20, 788,257.80 and 419,482.80 is: 629,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,977.20 : 788,257.80 = 419,482.80 : x
  2. Step 2: Convert to fraction form
    524,977.20/788,257.80 = 419,482.80/x
  3. Step 3: Cross multiply
    524,977.20x = 788,257.80 × 419,482.80
  4. Step 4: Simplify right side
    524,977.20x = 330,660,589,065.84
  5. Step 5: Solve for x
    x = 330,660,589,065.84/524,977.20
  6. Step 6: Final answer
    x = 629,857.05

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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.