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Finding the Fourth Proportional to 419,220.90, 628,774.65 and 166,687.20

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Solution

The fourth proportional to 419,220.90, 628,774.65 and 166,687.20 is: 250,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,220.90 : 628,774.65 = 166,687.20 : x
  2. Step 2: Convert to fraction form
    419,220.90/628,774.65 = 166,687.20/x
  3. Step 3: Cross multiply
    419,220.90x = 628,774.65 × 166,687.20
  4. Step 4: Simplify right side
    419,220.90x = 104,808,685,839.48
  5. Step 5: Solve for x
    x = 104,808,685,839.48/419,220.90
  6. Step 6: Final answer
    x = 250,008.26

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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.