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Finding the Fourth Proportional to 419,960.70, 629,941.05 and 210,008.70

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Solution

The fourth proportional to 419,960.70, 629,941.05 and 210,008.70 is: 315,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,960.70 : 629,941.05 = 210,008.70 : x
  2. Step 2: Convert to fraction form
    419,960.70/629,941.05 = 210,008.70/x
  3. Step 3: Cross multiply
    419,960.70x = 629,941.05 × 210,008.70
  4. Step 4: Simplify right side
    419,960.70x = 132,293,100,987.14
  5. Step 5: Solve for x
    x = 132,293,100,987.14/419,960.70
  6. Step 6: Final answer
    x = 315,013.05

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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.