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Finding the Fourth Proportional to 419,656, 629,035.74 and 239,353.18

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Solution

The fourth proportional to 419,656, 629,035.74 and 239,353.18 is: 358,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,656 : 629,035.74 = 239,353.18 : x
  2. Step 2: Convert to fraction form
    419,656/629,035.74 = 239,353.18/x
  3. Step 3: Cross multiply
    419,656x = 629,035.74 × 239,353.18
  4. Step 4: Simplify right side
    419,656x = 150,561,704,702.65
  5. Step 5: Solve for x
    x = 150,561,704,702.65/419,656
  6. Step 6: Final answer
    x = 358,774.10

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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.