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Finding the Fourth Proportional to 419,286.70, 629,189.25 and 169,970.86

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Solution

The fourth proportional to 419,286.70, 629,189.25 and 169,970.86 is: 255,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,286.70 : 629,189.25 = 169,970.86 : x
  2. Step 2: Convert to fraction form
    419,286.70/629,189.25 = 169,970.86/x
  3. Step 3: Cross multiply
    419,286.70x = 629,189.25 × 169,970.86
  4. Step 4: Simplify right side
    419,286.70x = 106,943,837,925.26
  5. Step 5: Solve for x
    x = 106,943,837,925.26/419,286.70
  6. Step 6: Final answer
    x = 255,061.36

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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.