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Finding the Fourth Proportional to 419,480.80, 628,972.32 and 166,625.32

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Solution

The fourth proportional to 419,480.80, 628,972.32 and 166,625.32 is: 249,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,480.80 : 628,972.32 = 166,625.32 : x
  2. Step 2: Convert to fraction form
    419,480.80/628,972.32 = 166,625.32/x
  3. Step 3: Cross multiply
    419,480.80x = 628,972.32 × 166,625.32
  4. Step 4: Simplify right side
    419,480.80x = 104,802,714,091.14
  5. Step 5: Solve for x
    x = 104,802,714,091.14/419,480.80
  6. Step 6: Final answer
    x = 249,839.12

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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.