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Finding the Fourth Proportional to 419,666.10, 629,685.24 and 219,939

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Solution

The fourth proportional to 419,666.10, 629,685.24 and 219,939 is: 330,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,666.10 : 629,685.24 = 219,939 : x
  2. Step 2: Convert to fraction form
    419,666.10/629,685.24 = 219,939/x
  3. Step 3: Cross multiply
    419,666.10x = 629,685.24 × 219,939
  4. Step 4: Simplify right side
    419,666.10x = 138,492,342,000.36
  5. Step 5: Solve for x
    x = 138,492,342,000.36/419,666.10
  6. Step 6: Final answer
    x = 330,006.03

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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.