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Finding the Fourth Proportional to 419,476.30, 628,965.57 and 166,620.82

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Solution

The fourth proportional to 419,476.30, 628,965.57 and 166,620.82 is: 249,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,476.30 : 628,965.57 = 166,620.82 : x
  2. Step 2: Convert to fraction form
    419,476.30/628,965.57 = 166,620.82/x
  3. Step 3: Cross multiply
    419,476.30x = 628,965.57 × 166,620.82
  4. Step 4: Simplify right side
    419,476.30x = 104,798,759,025.17
  5. Step 5: Solve for x
    x = 104,798,759,025.17/419,476.30
  6. Step 6: Final answer
    x = 249,832.37

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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.