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Finding the Fourth Proportional to 524,643.70, 787,757.55 and 419,149.30

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Solution

The fourth proportional to 524,643.70, 787,757.55 and 419,149.30 is: 629,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,643.70 : 787,757.55 = 419,149.30 : x
  2. Step 2: Convert to fraction form
    524,643.70/787,757.55 = 419,149.30/x
  3. Step 3: Cross multiply
    524,643.70x = 787,757.55 × 419,149.30
  4. Step 4: Simplify right side
    524,643.70x = 330,188,025,652.22
  5. Step 5: Solve for x
    x = 330,188,025,652.22/524,643.70
  6. Step 6: Final answer
    x = 629,356.70

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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.