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Finding the Fourth Proportional to 619,418.42, 928,500.12 and 419,759

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Solution

The fourth proportional to 619,418.42, 928,500.12 and 419,759 is: 629,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,418.42 : 928,500.12 = 419,759 : x
  2. Step 2: Convert to fraction form
    619,418.42/928,500.12 = 419,759/x
  3. Step 3: Cross multiply
    619,418.42x = 928,500.12 × 419,759
  4. Step 4: Simplify right side
    619,418.42x = 389,746,281,871.08
  5. Step 5: Solve for x
    x = 389,746,281,871.08/619,418.42
  6. Step 6: Final answer
    x = 629,213.26

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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.