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Finding the Fourth Proportional to 619,408.40, 928,485.10 and 419,748.98

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Solution

The fourth proportional to 619,408.40, 928,485.10 and 419,748.98 is: 629,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,408.40 : 928,485.10 = 419,748.98 : x
  2. Step 2: Convert to fraction form
    619,408.40/928,485.10 = 419,748.98/x
  3. Step 3: Cross multiply
    619,408.40x = 928,485.10 × 419,748.98
  4. Step 4: Simplify right side
    619,408.40x = 389,730,673,670.20
  5. Step 5: Solve for x
    x = 389,730,673,670.20/619,408.40
  6. Step 6: Final answer
    x = 629,198.24

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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.