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Finding the Fourth Proportional to 429,415.60, 644,123.40 and 419,574.10

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Solution

The fourth proportional to 429,415.60, 644,123.40 and 419,574.10 is: 629,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,415.60 : 644,123.40 = 419,574.10 : x
  2. Step 2: Convert to fraction form
    429,415.60/644,123.40 = 419,574.10/x
  3. Step 3: Cross multiply
    429,415.60x = 644,123.40 × 419,574.10
  4. Step 4: Simplify right side
    429,415.60x = 270,257,495,843.94
  5. Step 5: Solve for x
    x = 270,257,495,843.94/429,415.60
  6. Step 6: Final answer
    x = 629,361.15

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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.