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Finding the Fourth Proportional to 429,401.60, 644,102.40 and 419,560.10

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Solution

The fourth proportional to 429,401.60, 644,102.40 and 419,560.10 is: 629,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,401.60 : 644,102.40 = 419,560.10 : x
  2. Step 2: Convert to fraction form
    429,401.60/644,102.40 = 419,560.10/x
  3. Step 3: Cross multiply
    429,401.60x = 644,102.40 × 419,560.10
  4. Step 4: Simplify right side
    429,401.60x = 270,239,667,354.24
  5. Step 5: Solve for x
    x = 270,239,667,354.24/429,401.60
  6. Step 6: Final answer
    x = 629,340.15

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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.