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Finding the Fourth Proportional to 632,507.20, 948,760.80 and 419,930.80

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Solution

The fourth proportional to 632,507.20, 948,760.80 and 419,930.80 is: 629,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,507.20 : 948,760.80 = 419,930.80 : x
  2. Step 2: Convert to fraction form
    632,507.20/948,760.80 = 419,930.80/x
  3. Step 3: Cross multiply
    632,507.20x = 948,760.80 × 419,930.80
  4. Step 4: Simplify right side
    632,507.20x = 398,413,881,752.64
  5. Step 5: Solve for x
    x = 398,413,881,752.64/632,507.20
  6. Step 6: Final answer
    x = 629,896.20

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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.