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Finding the Fourth Proportional to 419,212.40, 628,761.90 and 166,678.70

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Solution

The fourth proportional to 419,212.40, 628,761.90 and 166,678.70 is: 249,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,212.40 : 628,761.90 = 166,678.70 : x
  2. Step 2: Convert to fraction form
    419,212.40/628,761.90 = 166,678.70/x
  3. Step 3: Cross multiply
    419,212.40x = 628,761.90 × 166,678.70
  4. Step 4: Simplify right side
    419,212.40x = 104,801,216,101.53
  5. Step 5: Solve for x
    x = 104,801,216,101.53/419,212.40
  6. Step 6: Final answer
    x = 249,995.51

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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.