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Finding the Fourth Proportional to 619,403.89, 928,478.35 and 419,744.47

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Solution

The fourth proportional to 619,403.89, 928,478.35 and 419,744.47 is: 629,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,403.89 : 928,478.35 = 419,744.47 : x
  2. Step 2: Convert to fraction form
    619,403.89/928,478.35 = 419,744.47/x
  3. Step 3: Cross multiply
    619,403.89x = 928,478.35 × 419,744.47
  4. Step 4: Simplify right side
    619,403.89x = 389,723,652,927.23
  5. Step 5: Solve for x
    x = 389,723,652,927.23/619,403.89
  6. Step 6: Final answer
    x = 629,191.48

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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.