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Finding the Fourth Proportional to 419,086.60, 628,629.90 and 166,427.35

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Solution

The fourth proportional to 419,086.60, 628,629.90 and 166,427.35 is: 249,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,086.60 : 628,629.90 = 166,427.35 : x
  2. Step 2: Convert to fraction form
    419,086.60/628,629.90 = 166,427.35/x
  3. Step 3: Cross multiply
    419,086.60x = 628,629.90 × 166,427.35
  4. Step 4: Simplify right side
    419,086.60x = 104,621,208,387.77
  5. Step 5: Solve for x
    x = 104,621,208,387.77/419,086.60
  6. Step 6: Final answer
    x = 249,641.03

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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.