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Finding the Fourth Proportional to 632,506.20, 948,759.30 and 419,929.80

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Solution

The fourth proportional to 632,506.20, 948,759.30 and 419,929.80 is: 629,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,506.20 : 948,759.30 = 419,929.80 : x
  2. Step 2: Convert to fraction form
    632,506.20/948,759.30 = 419,929.80/x
  3. Step 3: Cross multiply
    632,506.20x = 948,759.30 × 419,929.80
  4. Step 4: Simplify right side
    632,506.20x = 398,412,303,097.14
  5. Step 5: Solve for x
    x = 398,412,303,097.14/632,506.20
  6. Step 6: Final answer
    x = 629,894.70

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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.