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Finding the Fourth Proportional to 429,537.60, 644,306.40 and 419,696.10

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Solution

The fourth proportional to 429,537.60, 644,306.40 and 419,696.10 is: 629,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,537.60 : 644,306.40 = 419,696.10 : x
  2. Step 2: Convert to fraction form
    429,537.60/644,306.40 = 419,696.10/x
  3. Step 3: Cross multiply
    429,537.60x = 644,306.40 × 419,696.10
  4. Step 4: Simplify right side
    429,537.60x = 270,412,883,285.04
  5. Step 5: Solve for x
    x = 270,412,883,285.04/429,537.60
  6. Step 6: Final answer
    x = 629,544.15

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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.