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Finding the Fourth Proportional to 419,740.25, 629,267.28 and 195,240.65

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Solution

The fourth proportional to 419,740.25, 629,267.28 and 195,240.65 is: 292,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,740.25 : 629,267.28 = 195,240.65 : x
  2. Step 2: Convert to fraction form
    419,740.25/629,267.28 = 195,240.65/x
  3. Step 3: Cross multiply
    419,740.25x = 629,267.28 × 195,240.65
  4. Step 4: Simplify right side
    419,740.25x = 122,858,549,624.60
  5. Step 5: Solve for x
    x = 122,858,549,624.60/419,740.25
  6. Step 6: Final answer
    x = 292,701.38

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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.