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Finding the Fourth Proportional to 419,460.59, 628,942.03 and 166,605.05

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Solution

The fourth proportional to 419,460.59, 628,942.03 and 166,605.05 is: 249,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,460.59 : 628,942.03 = 166,605.05 : x
  2. Step 2: Convert to fraction form
    419,460.59/628,942.03 = 166,605.05/x
  3. Step 3: Cross multiply
    419,460.59x = 628,942.03 × 166,605.05
  4. Step 4: Simplify right side
    419,460.59x = 104,784,918,355.25
  5. Step 5: Solve for x
    x = 104,784,918,355.25/419,460.59
  6. Step 6: Final answer
    x = 249,808.73

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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.