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Finding the Fourth Proportional to 419,698.40, 629,701.20 and 170,405.60

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Solution

The fourth proportional to 419,698.40, 629,701.20 and 170,405.60 is: 255,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,698.40 : 629,701.20 = 170,405.60 : x
  2. Step 2: Convert to fraction form
    419,698.40/629,701.20 = 170,405.60/x
  3. Step 3: Cross multiply
    419,698.40x = 629,701.20 × 170,405.60
  4. Step 4: Simplify right side
    419,698.40x = 107,304,610,806.72
  5. Step 5: Solve for x
    x = 107,304,610,806.72/419,698.40
  6. Step 6: Final answer
    x = 255,670.76

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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.