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Finding the Fourth Proportional to 668,906.20, 1,003,640.78 and 416,398.04

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Solution

The fourth proportional to 668,906.20, 1,003,640.78 and 416,398.04 is: 624,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,906.20 : 1,003,640.78 = 416,398.04 : x
  2. Step 2: Convert to fraction form
    668,906.20/1,003,640.78 = 416,398.04/x
  3. Step 3: Cross multiply
    668,906.20x = 1,003,640.78 × 416,398.04
  4. Step 4: Simplify right side
    668,906.20x = 417,914,053,656.07
  5. Step 5: Solve for x
    x = 417,914,053,656.07/668,906.20
  6. Step 6: Final answer
    x = 624,772.28

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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.