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Finding the Fourth Proportional to 429,430.60, 644,145.90 and 419,589.10

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Solution

The fourth proportional to 429,430.60, 644,145.90 and 419,589.10 is: 629,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,430.60 : 644,145.90 = 419,589.10 : x
  2. Step 2: Convert to fraction form
    429,430.60/644,145.90 = 419,589.10/x
  3. Step 3: Cross multiply
    429,430.60x = 644,145.90 × 419,589.10
  4. Step 4: Simplify right side
    429,430.60x = 270,276,598,449.69
  5. Step 5: Solve for x
    x = 270,276,598,449.69/429,430.60
  6. Step 6: Final answer
    x = 629,383.65

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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.