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Finding the Fourth Proportional to 419,474.80, 628,963.32 and 166,619.33

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Solution

The fourth proportional to 419,474.80, 628,963.32 and 166,619.33 is: 249,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,474.80 : 628,963.32 = 166,619.33 : x
  2. Step 2: Convert to fraction form
    419,474.80/628,963.32 = 166,619.33/x
  3. Step 3: Cross multiply
    419,474.80x = 628,963.32 × 166,619.33
  4. Step 4: Simplify right side
    419,474.80x = 104,797,443,828.16
  5. Step 5: Solve for x
    x = 104,797,443,828.16/419,474.80
  6. Step 6: Final answer
    x = 249,830.13

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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.